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Class of exact solutions to Einstein's field equations
In general relativity, a dust solution is a fluid solution, a type of exact solution of the Einstein field equation, in which the gravitational field
Dust_solution
Solution of Einstein field equations
swirling dust particles (see Dust solution), and the second associated with a negative cosmological constant (see Lambdavacuum solution). This solution has
Gödel_metric
Exact solution of the Einstein field equations
Stockum dust or the Lanczos–van Stockum dust is an exact solution of the Einstein field equations where the gravitational field is generated by dust rotating
Van_Stockum_dust
American solar geoengineering company
Stardust Solutions is a for-profit Stratospheric aerosol injection, solar geoengineering, climate change startup company. It publicly claims that its
Stardust_Solutions
Concept in mathematical physics
In mathematical physics, a null dust solution (sometimes called a null fluid) is a Lorentzian manifold in which the Einstein tensor is null. Such a spacetime
Null_dust_solution
radiation chart, Bondi mass–energy–momentum, LTB dust, maverick models), William B. Bonnor (Bonnor beam solution), Robert H. Boyer (Boyer–Lindquist coordinates)
List of contributors to general relativity
List_of_contributors_to_general_relativity
Class of exact solutions to Einstein's field equations
and dusts and radiation fluids each require only one function. It is much easier to find such solutions than it is to find a general fluid solution. Among
Fluid_solution
Small particles in the air and settling onto surfaces
is not yet a clear consensus on the sources or potential solutions to the problem. The dust in Iraq and Iran are migratory systems that move from west
Dust
Fluid fully characterized by its density and isotropic pressure
metric tensor of Minkowski spacetime. The case where p=0 describes a dust solution. When p = ρ m c 2 / 3 {\displaystyle p=\rho _{m}c^{2}/3} , it describes
Perfect_fluid
Topics referred to by the same term
Everything "Dust", a 2004 song by Van Hunt from Van Hunt "Dust", a 2013 song by Gen Hoshino from the single "Gag" Dust solution, a type of exact solution in general
Dust_(disambiguation)
Exact solution for the Einstein field equations
moments). However, the exterior of the Neugebauer–Meinel disk, an exact dust solution which models a rotating thin disk, approaches in a limiting case the
Kerr_metric
Metallurgical process
remove air in the solution (invention of Crowe), and zinc dust is used instead of zinc shavings (improvement of Merrill). The solution is separated from
Merrill–Crowe_process
Industrial machine
high-volume dust loads, a dust collector system consists of a blower, dust filter, a filter-cleaning system, and a dust receptacle or dust removal system
Dust_collector
the field energy (and momentum) of the electromagnetic field, Null dust solutions: T α β {\displaystyle T^{\alpha \beta }} must correspond to a stress–energy
Exact solutions in general relativity
Exact_solutions_in_general_relativity
Theory of gravity
relativity. Ibison has considered a "cosmological solution" of PV, analogous to the Friedmann dust solution with flat orthogonal hyperslices in general relativity
Polarizable_vacuum
Metric of a homogenous universe
action. Bianchi classification Dust solution Kantowski, R. & Sachs, R. K. (1966). "Some spatially inhomogeneous dust models". J. Math. Phys. 7 (3): 443
Kantowski–Sachs_metric
Solution of Einstein field equations
(null dusts) or dark matter, and thus provides an incomplete description of stellar mass black holes and active galactic nuclei. The solution however
Kerr–Newman_metric
Exact solution in general relativity
\\\end{array}}\right.} This is a null dust solution and can be interpreted as incoherent electromagnetic radiation. The exterior part of the solution is defined by { d s
Bonnor_beam
Stephani dust solution. 1968 – F. J. Ernst discovers the Ernst equation. 1968 – B. Kent Harrison discovers the Harrison transformation, a solution-generating
Timeline of gravitational physics and relativity
Timeline_of_gravitational_physics_and_relativity
Result in general relativity
arise in studying the world lines of the dust particles in cosmological models which are exact dust solutions of the Einstein field equation (provided
Raychaudhuri_equation
Chemical compound
nitrophenylpentadienal, NPPD, or METKA (Russian for "mark") colloquially known as "spy dust", is a chemical compound used as a tagging agent by the KGB during the Cold
Nitrophenyl_pentadienal
Exact spherically symmetric solution in GR
between Vaidya and Schwarzschild metrics. Schwarzschild metric Null dust solution Eric Poisson. A Relativist's Toolkit: The Mathematics of Black-Hole
Vaidya_metric
Topics referred to by the same term
responsible for public transport in London from 1963 to 1969 LTB dusts, solution to Einstein's field equations Lymphotoxin beta, human protein IATA
LTB
1941 science fiction short story by Robert A. Heinlein
only solution is to use the American nuclear monopoly while it still exists. Any other world power, such as the Eurasian Union, might create such dust and
Solution_Unsatisfactory
Substance formed when two or more constituents are physically combined
substances in which the identities are retained and are mixed in the form of solutions, suspensions or colloids. Mixtures are one product of mechanically blending
Mixture
American physicist
under the direction of Jon Mathews. In 1969, he published an exact null dust solution to the Einstein field equation and thereby created the photon rocket
William_Morris_Kinnersley
2020 puzzle adventure game
Luna The Shadow Dust is a 2020 adventure video game developed by Lantern Studio and published by Coconut Island Games and Application Systems Heidelberg
Luna_The_Shadow_Dust
Austrian-British mathematician and cosmologist (1919–2005)
the Lemaître–Tolman metric, an inhomogeneous, spherically symmetric dust solution (often called the LTB or Lemaître–Tolman–Bondi metric). Bondi also contributed
Hermann_Bondi
Dutch mathematician (1910–1944)
exact solutions in general relativity which modeled the gravitational field produced by a configuration of rotating matter, the van Stockum dust, which
Willem_Jacob_van_Stockum
Byproduct or waste product of woodworking operations (sawing, sanding, milling, etc.)
Sawdust (or wood dust) is a by-product or waste product of woodworking operations such as sawing, sanding, milling and routing. It is composed of very
Sawdust
Wind-borne mineral dust from the Sahara
Saharan dust (also African dust, yellow dust, yellow sand, yellow wind or Sahara dust storms) is an aeolian mineral dust from the Sahara, the largest hot
Saharan_dust
Fine regolith found on the surface of Mars
sand and dust and its surface is littered with rocks and boulders. The dust is occasionally picked up in vast planet-wide dust storms. Mars dust is very
Martian_regolith
Floor cleaning device
ride-on machine to clean larger areas by injecting water with cleaning solution, scrubbing, and lifting the residue off the floor. With advancements in
Floor_scrubber
2009 Sherlock Holmes book by Lyndsay Faye
Dust and Shadow: An Account of the Ripper Killings by Dr. John H. Watson is a Sherlock Holmes pastiche novel by Lyndsay Faye which pits Sherlock Holmes
Dust_and_Shadow
Aspect of general relativity
Solutions of the Einstein field equations are metrics of spacetimes that result from solving the Einstein field equations (EFE) of general relativity
Solutions of the Einstein field equations
Solutions_of_the_Einstein_field_equations
Solution mining process for recovering certain dissolved metals
In-situ leaching (ISL), also called in-situ recovery (ISR) or solution mining, is a mining process used to recover minerals such as copper and uranium
In_situ_leach
Concept in general relativity
can be interpreted, in the context of general relativity, as a null dust solution. Also, the Weyl tensor always has Petrov type N as may be verified by
Pp-wave_spacetime
Hypothetical gravitational particle
trace. If one considers a pressure-free perfect fluid (also known as a dust solution), the effective material Lagrangian becomes L m = − c 2 ∑ i μ i δ (
Pressuron
Mechanical engineer, ecologist, agronomist (1914–1994)
He offered soil remineralization as a solution, advocating regeneration of soil and forests with rock dusts as an economic and ecologically sustainable
John_D._Hamaker
2018 Egyptian film
"Diamond Dust (2018) Full Cast & Crew | Flixi". Flixi.com. Retrieved 2024-02-17. Company, MAD Solutions. "Director Marwan Hamed's Film Diamond Dust Wins Three
Diamond_Dust_(2018_film)
Small particles between planets
The interplanetary dust cloud, or zodiacal cloud (as the source of the zodiacal light), consists of cosmic dust (small particles floating in outer space)
Interplanetary_dust_cloud
Concept in cosmology
other words, the fluid has zero pressure, so that we are considering a dust solution. The condition that the congruence corresponding to the fluid particles
Weyl's_postulate
2011 video game
From Dust is a god video game, designed by Éric Chahi and developed by Ubisoft Montpellier. The game was released for Microsoft Windows, PlayStation Network
From_Dust
German-American mathematical physicist (1932–2024)
1966, he and Ronald Kantowski were responsible for the Kantowski–Sachs dust solutions to the Einstein field equation. These are a widely used family of anisotropic
Rainer_K._Sachs
Sci-fi books and stories by Hugh Howey (2011–2015)
novel with the same name. Along with Wool, the series consists of Shift, Dust, and three short stories. The series has also been adapted as a graphic novel
Silo_(series)
Topics referred to by the same term
science project Stardust Solutions, for-profit climate geoengineering start-up company Search for "stardust" or "star-dust" on Wikipedia. All pages with
Stardust
World line of a particle in spacetime which returns to its starting point
hole the van Stockum dust (which models a cylindrically symmetric configuration of dust) the Gödel lambda dust (which models a dust with a carefully chosen
Closed_timelike_curve
Process of removing dirt and stains from carpets
preconditioning. Alkaline agents such as ammonia solution for synthetic carpets, or mild acidic solutions such as dilute acetic acid for woollen carpets
Carpet_cleaning
Fractal sets in complex dynamics of mathematics
and the Fatou set are two complementary sets (Julia "laces" and Fatou "dusts") defined from a function. Informally, the Fatou set of the function consists
Julia_set
Oort cloud comet
conjunctions. On 8 April, its ion tail was at least 7 degrees long, but little dust tail was visible. At that time the comet was moving slowly at the western
C/2025_R3_(PanSTARRS)
Aeolian mineral powder
sight of in their dust. Bulldust also poses a problem for the mining industry, who have developed their own solutions to control the dust. Regulation of
Bulldust
Classification used in differential geometry and general relativity
example, the class of non-conformally flat null electrovacuum or null dust solutions admitting an expanding but nontwisting null congruence is precisely
Petrov_classification
Lorentzian metric describing an isotropic, expanding, nonhomogenous universe
see that only two functions are arbitrary. For the dust-like medium, there exists another solution where r = r ( τ ) {\displaystyle r=r(\tau )} and independent
Lemaître–Tolman_metric
Field-equations in general relativity
of nonlinear partial differential equations when used in this way. The solutions of the EFE are the components of the metric tensor. The inertial trajectories
Einstein_field_equations
Since Granny's not doing well growing corn in the backyard, Jed thinks the solution is to buy her a plot of land somewhere else as a gift. Jethro tells Jed
List of The Beverly Hillbillies episodes
List_of_The_Beverly_Hillbillies_episodes
Interstellar comet in 2025
consisting of a solid icy nucleus and a coma, which is a cloud of gas and icy dust escaping from the nucleus. The Sun is responsible for the comet's activity
3I/ATLAS
American rock and roll and soul musician
known for his work with the Sonic's Rendezvous Band, the Rationals, The Solution as well as his solo work. He was born in Ann Arbor, Michigan, United States
Scott_Morgan_(musician)
structure Nucleosynthesis Nuclide Nuclotron Nuker Team Null corrector Null dust solution Null surface Nuller Nulling interferometry Number density Numerical
Index_of_physics_articles_(N)
Equations in physical cosmology
isotropic pressure. k is constant throughout a particular solution, but may vary from one solution to another. The units set the speed of light in vacuum
Friedmann_equations
Proposed theory of gravitation
vacuum solutions of Brans–Dicke theory. Similarly, an important class of spacetimes, the pp-wave metrics, are also exact null dust solutions of both
Brans–Dicke_theory
Kristie recalls Fiona’s fortune cookie message from the temptation: “The solution to every labyrinth is in your left hand,” which helps her finish first
List of The Biggest Loser Australia episodes
List_of_The_Biggest_Loser_Australia_episodes
Type of unpaved road surfaced with gravel
damage to roadside vegetation. Some common dust-suppression techniques are the application of a chloride solution (calcium chloride, magnesium chloride, sodium
Gravel_road
Compact astronomical body
In 1916, the first solution of general relativity that would characterise a black hole was found. By the late 1950s, this solution began to be interpreted
Black_hole
Caustic soda, with formula NaOH
hydrates NaOH·nH2O. The monohydrate NaOH·H2O crystallizes from water solutions between 12.3 and 61.8 °C. The commercially available "sodium hydroxide"
Sodium_hydroxide
Encrypted sculpture by American artist Jim Sanborn
method by which a correct solution could be confirmed. In 2020, Sanborn stated that he planned to put the secret to the solution up for auction once he died
Kryptos
Scattering of an electromagnetic plane wave by a sphere
electromagnetism, the Mie solution to Maxwell's equations (also known as the Lorenz–Mie solution, the Lorenz–Mie–Debye solution or Mie scattering) describes
Mie_scattering
as the author, together with Rainer K. Sachs, of the Kantowski–Sachs dust solutions to the Einstein field equation. These are a widely used family of inhomogeneous
Ronald_Kantowski
is in trouble, the pack races to find her while Tom finds a more human solution by making Shannon drink a banana milkshake until she throws up the dohldrenc
List_of_Wolfblood_episodes
Solution to the Einstein field equations
the Schwarzschild metric (also known as the Schwarzschild solution) is an exact solution to the Einstein field equations that describes the gravitational
Schwarzschild_metric
Notre Dame's undefeated 1988 season as a walk-on player. 30 The Sweat Solution David Beilinson and Neil Amdur January 21, 2015 (2015-01-21) 16:45 Dr.
List_of_30_for_30_films
Atmospheric dust
dust that is visible from a distance is known as a dust cloud, and a large dust cloud driven by a gust front is known as a dust storm. Fugitive dust particles
Fugitive_dust
Natural object in space that releases gas
atmosphere or coma surrounding the nucleus, and sometimes a tail of gas and dust gas blown out from the coma. These phenomena are due to the effects of solar
Comet
Concentrated solution of salt in water
high-concentration solution of salt (typically sodium chloride or calcium chloride) in water. In diverse contexts, brine may refer to the salt solutions ranging
Brine
Japanese academic, artist, and entrepreneur
"Graphics by Computational Acoustic Fields." In 2015 Ochiai founded Pixie Dust Technologies (PxDT), a wave-control technology startup, and became an assistant
Yoichi_Ochiai
Chemical compound used to lift fingerprints from surfaces
identification. This method of fingerprint development commonly referred to as dusting for fingerprints, involves the adherence of the powder particles to the
Fingerprint_powder
Suspension of fine solid particles or liquid droplets in a gas
distinction is not clear. Examples of natural aerosols are fog, mist, and dust from geological or biological sources. Certain infections spread by means
Aerosol
(usually liquids, powders, sprays, or granules) used to remove dirt, including dust, stains, bad smells, and clutter on surfaces. Purposes of cleaning agents
List_of_cleaning_products
World Air Quality Report AirVisual, South Korea's annual average ultrafine dust concentration in 2018 was 24.9μg/m3, which was the worst among OECD member
Air_pollution_in_South_Korea
Improving a broken, damaged or outdated structure
enclosed a space, the more the dust will build up time – the longer you work the more dust there will be Examples of high dust level tasks include: using
Renovation
dust storm had daytime temperatures 4 K below average. This was attributed to the global covering of light-colored dust that settled out of the dust storm
Climate_of_Mars
Device that sucks up dirt from a surface
from carpets, hard floors, and other surfaces. The dirt is collected into a dust bag or a plastic bin. Vacuum cleaners, which are used in homes as well as
Vacuum_cleaner
Duoplasmatron Durmus A. Demir Duru–Kleinert transformation Dust (relativity) Dust devil Dust solution Dusty plasma Dutch roll Dwarf galaxy problem Dwarf planet
Index_of_physics_articles_(D)
2005 single by Bruce Springsteen
"Devils & Dust" is the title track on Bruce Springsteen's thirteenth studio album Devils & Dust, and was released as a single in 2005. Concerning the
Devils_&_Dust_(song)
Growing plants without soil using nutrients in water
medicinal plants, without soil, by using water-based mineral nutrient solutions in an artificial environment. Terrestrial or aquatic plants may grow freely
Hydroponics
Equilibrium points near two orbiting bodies
influence of two massive orbiting bodies. Mathematically, this involves the solution of the restricted three-body problem. Normally, the two massive bodies
Lagrange_point
Network security standard to create a secure wireless home network
the summer of 2014, Dominique Bongard discovered what he called the Pixie Dust attack. This attack works only on the default WPS implementation of several
Wi-Fi_Protected_Setup
American soldier of fortune active in the twentieth century
one of the windows, smacked the wall by his head and showered him in adobe dust. As the Lieutenant caught his breath and reloaded his pistol, he spied Holmdahl
Emil_Lewis_Holmdahl
Chemical compound
Ammonia readily dissolves in water. In an aqueous solution, it can be expelled by boiling. The aqueous solution of ammonia is basic, and may be described as
Ammonia
Liquid applied directly to the eye
mast cell responses to allergens including (but not limited to) aerosolized dust particles. Eye drops used in managing glaucoma help the eye's fluid to drain
Eye_drop
Chemical compound
prepared by dissolving silver in nitric acid followed by evaporation of the solution. The stoichiometry of the reaction depends upon the concentration of nitric
Silver_nitrate
Approach to carbon sequestration
Teams Bring Cutting-Edge Solutions to XPRIZE Carbon Removal Final". XPRIZE. 8 May 2024. Retrieved 2024-06-11. "Can concrete dust help to fight climate change
Enhanced_weathering
Filipino word for leftover food from restaurants
collected. The word in the Tagalog language literally means "to shake off the dust or dirt". Pagpag are cooked again in a variety of ways before consumption
Pagpag
1993 disease outbreak
chlorine bleach solution and then wrapping them in double plastic bags before disposing of them. People were warned to avoid inhaling dust in places infested
1993 Four Corners hantavirus outbreak
1993_Four_Corners_hantavirus_outbreak
new timeline's versions of them. Future Trunks and Future Mai accept the solution and depart for a new future. 68 22 "Come Forth, Shenron! Whose Wish Will
List of Dragon Ball Super episodes
List_of_Dragon_Ball_Super_episodes
Fatal aviation accident
On 2 August 1947, Star Dust, a British South American Airways (BSAA) Avro Lancastrian airliner on a flight from Buenos Aires, Argentina, to Santiago, Chile
1947 BSAA Avro Lancastrian Star Dust accident
1947_BSAA_Avro_Lancastrian_Star_Dust_accident
Unclean matter, especially when in contact with a person's clothes, skin or possessions
waste or remains Dust: a general powder of organic or mineral matter Filth: foul matter such as excrement Grime: a black, ingrained dust such as soot Soil:
Dirt
Star cluster in the constellation of Taurus
considered likely to be an unrelated dust cloud in the interstellar medium through which the stars are currently passing. This dust cloud is estimated to be moving
Pleiades
with David Borenstein and Pavel Talankin. Charlotte Kaufman The Alabama Solution Nominated Shared with Andrew Jarecki. Jessica Hargrave Tig Notaro Stef
List of female Academy Award winners and nominees for non-gendered categories
List_of_female_Academy_Award_winners_and_nominees_for_non-gendered_categories
Natural material created during volcanic eruptions
Finnish Air Force halted training flights when damage was found from volcanic dust ingestion by the engines of one of its Boeing F-18 Hornet fighters. In June
Volcanic_ash
Greek ἀπὸ μηχανῆς θεός (apò mēchanēs theós). A contrived or artificial solution, usually to a literary plot. Refers to the practice in Greek drama of lowering
List_of_Latin_phrases_(full)
DUST SOLUTION
DUST SOLUTION
Boy/Male
English American
Dusty place; brave soldier.
Boy/Male
American, British, English, Latin
Just
Girl/Female
English American
Nickname.
Boy/Male
French
Red haired.
Boy/Male
Czech
Spirit.
Girl/Female
Tamil
Kashmalam | கஷà¯à®®à®¾à®‚லம
Dust
Kashmalam | கஷà¯à®®à®¾à®‚லம
Boy/Male
Muslim
Friend
Girl/Female
Hindu
Dust
Girl/Female
English
Nickname.
Boy/Male
English
Dusty Place; Diminutive of Dustin
Surname or Lastname
English
English : from Old English dūst ‘dust’, applied as a nickname, possibly for someone with a dusty complexion or hair (as, for example, a miller), or for a worthless person.North German : possibly a Westphalian habitational name from a farm named with dost ‘bush’, ‘brush’. However, the word also means ‘fine dust’, ‘flour’ and may have been applied as an occupational nickname for a miller. Compare 1.
Girl/Female
Dutch
Surname or Lastname
Swiss German
Swiss German : topographic name for someone who lived by a prominent elm tree, Rust (Old High German ruost), or in northern Germany for someone who lived by a resting place or halt along a route, from Middle Low German ruste ‘rest’.English (chiefly East Anglia) and Scottish : nickname for someone with red hair or a ruddy complexion, from Old English rūst ‘rust’ (from a Germanic root meaning ‘red’).
Boy/Male
English
Dusty place; brave soldier.
Surname or Lastname
English (Lincolnshire)
English (Lincolnshire) : unexplained. Black identified this as a Scottish name of Pictish origin. However, the modern distribution of the surname, almost exclusively in Lincolnshire and adjoining counties, suggests a more localized eastern English origin.
Male
English
Pet form of English Dustin, probably DUSTY means "Thor's stone."
Biblical
dust
Surname or Lastname
English
English : nickname from Middle English dut ‘joy’, ‘delight’.Indian : variant of Datta.German : from the Germanic personal name Dudo (see Due).
Boy/Male
Indian, Tamil
Dust
Boy/Male
Indian
Friend
DUST SOLUTION
DUST SOLUTION
Girl/Female
Gujarati, Hindu, Indian
Worship
Girl/Female
Tamil
Kallola | கலà¯à®²à¯‹à®²à®¾
Name of a Raga
Boy/Male
Hindu
The God of silence
Girl/Female
Latin
Animated.
Boy/Male
Indian, Telugu
Praying
Boy/Male
Tamil
Chandranan | சஂதà¯à®°à®¾à®¨à®¨
The Moon, Moon like a face
Boy/Male
Tamil
Curious
Boy/Male
Tamil
King of fragrance
Girl/Female
Arabic, Australian, Muslim
Wife of the Holy Prophet
Boy/Male
Tamil
Rajyeshwar | ராஜà¯à®¯à¯‡à®·à¯à®µà®°
King
DUST SOLUTION
DUST SOLUTION
DUST SOLUTION
DUST SOLUTION
DUST SOLUTION
n.
Gold dust
v. i. / auxiliary
To be obliged; to be necessitated; -- expressing either physical or moral necessity; as, a man must eat for nourishment; we must submit to the laws.
v. i.
To contract rust; to be or become oxidized.
v. i. / auxiliary
To be morally required; to be necessary or essential to a certain quality, character, end, or result; as, he must reconsider the matter; he must have been insane.
a.
Not transgressing the requirement of truth and propriety; conformed to the truth of things, to reason, or to a proper standard; exact; normal; reasonable; regular; due; as, a just statement; a just inference.
n.
Longing desire; eagerness to possess or enjoy; -- in a had sense; as, the lust of gain.
v. t.
To make dusk.
n.
That which resembles rust in appearance or effects.
n.
One who, or that which, dusts; a utensil that frees from dust.
superl.
Filled, covered, or sprinkled with dust; clouded with dust; as, a dusty table; also, reducing to dust.
superl.
Like dust; of the color of dust; as a dusty white.
v. i.
To grow dusk.
n.
Fine, dry particles of earth or other matter, so comminuted that they may be raised and wafted by the wind; that which is crumbled too minute portions; fine powder; as, clouds of dust; bone dust.
v. t.
To sprinkle with dust.
n.
Foul matter arising from degeneration; as, rust on salted meat.
v. t.
To free from dust; to brush, wipe, or sweep away dust from; as, to dust a table or a floor.
adv.
Barely; merely; scarcely; only; by a very small space or time; as, he just missed the train; just too late.
v. t.
To cause to contract rust; to corrode with rust; to affect with rust of any kind.
n.
A composition used in making a rust joint. See Rust joint, below.