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Mathematical solution in general relativity
In general relativity, an electrovacuum solution (electrovacuum) is an exact solution of the Einstein field equation in which the only nongravitational
Electrovacuum_solution
Solution of Einstein field equations
asymptotically flat and stationary solution of the Einstein–Maxwell equations in general relativity. As an electrovacuum solution, it only includes those charges
Kerr–Newman_metric
regions in which no matter or non-gravitational fields are present, Electrovacuum solutions: T α β {\displaystyle T^{\alpha \beta }} must arise entirely from
Exact solutions in general relativity
Exact_solutions_in_general_relativity
American theoretical physicist (b. 1921)
classical gravitation, including the discovery of certain exact electrovacuum solutions to the Einstein field equation. Louis W. Witten was born to a Jewish
Louis_Witten
Lorentzian manifold with vanishing Einstein tensor
from the electrovacuum solutions, which take into account the electromagnetic field in addition to the gravitational field. Vacuum solutions are also
Vacuum_solution
Coordinate system in black hole physics
theorem states that every isolated spherically symmetric vacuum or electrovacuum solution of the Einstein field equation is static, but this is certainly
Schwarzschild_coordinates
Australian physicist (born 1942)
the exact solution of the geodesic equations for the Kerr/Newman electrovacuum solution, and the maximal analytic extension of this solution. In the process
Brandon_Carter
Predecessor to the theory of relativity
the fact that the trace of the stress–energy tensor for an electrovacuum solution (a solution in which there is no matter present, nor any non-gravitational
Nordström's theory of gravitation
Nordström's_theory_of_gravitation
perfect fluid). In the case of test particles in a vacuum solution or electrovacuum solution, this turns out to imply that in addition to the tidal acceleration
Test_particle
Spacetime modeled by four pointwise-orthonormal vector fields
include an observer attached to a free charged test particle in an electrovacuum solution, which will of course be accelerated by the Lorentz force, or an
Frame fields in general relativity
Frame_fields_in_general_relativity
Attempt to describe spacetime and associated phenomena in terms of geometry
case of a charged particle, the geometry of the Reissner–Nordström electrovacuum solution suggests that the symmetry between electric (which "end" in charges)
Geometrodynamics
Exact solution for the Einstein field equations
vacuums. The Kerr solution is also related to various non-vacuum solutions which model black holes. For example, the Kerr–Newman electrovacuum models a (rotating)
Kerr_metric
Gustav Heinrich Wiedemann Wiedemann effect Wiedemann–Franz law Eilhard Wiedemann Luminescence Louis Witten Electrovacuum solution Edward Witten M-theory
List of second-generation physicists
List_of_second-generation_physicists
transform solution generating methods), Peter G. Bergmann (constrained Hamiltonian dynamics), Bruno Bertotti (Bertotti–Robinson electrovacuum, post-Minskowskian
List of contributors to general relativity
List_of_contributors_to_general_relativity
Concept in mathematical physics
not. Individual electromagnetic plane waves are modeled by null electrovacuum solutions, while an incoherent mixture can be modeled by a null dust. The
Null_dust_solution
Electromagnetism in general relativity
relativity Introduction to the mathematics of general relativity Electrovacuum solution Paradox of radiation of charged particles in a gravitational field
Maxwell's equations in curved spacetime
Maxwell's_equations_in_curved_spacetime
Coordinate system for the Kerr metric
energy–momentum tensor for the gravitational field leads to the Kerr–Newman electrovacuum solution. Boyer, Robert H.; Lindquist, Richard W. (1967). "Maximal Analytic
Boyer–Lindquist_coordinates
Topic in semi-Riemannian geometry
accelerations of a small cloud of test particles in a vacuum solution or electrovacuum solution. the magnetogravitic tensor B [ X → ] a b = ⋆ R a m b n X
Bel_decomposition
Class of solutions to Einstein's field equation
_{cb}^{a}} . Also, since R = − 8 π T = 0 {\displaystyle R=-8\pi T=0} for electrovacuum, Eq(2) reduces to Now, suppose the Weyl-type axisymmetric electrostatic
Weyl_metrics
Einstein field equation solution
the only solution in general relativity that has a Cartesian product structure, other than the Bertotti–Robinson electrovacuum. Exact solutions in general
Lambdavacuum_solution
Lorentzian manifold where curvature vanishes at large distances
which includes the well-known Wahlquist fluid and Kerr-Newman electrovacuum solutions as special case. MacCallum, M. A. H.; Mars, M.; and Vera, R. Second
Asymptotically_flat_spacetime
Indian physicist (1915–1997)
Hartle and Hawking that these spacetimes can be analytically extended to electrovacuum black hole spacetimes with a regular domain of outer communication.
Sudhansu_Datta_Majumdar
everything works out exactly the same way on curved manifolds. Electrovacuum solution Lorentz group Bel decomposition Petrov classification Peeling theorem
Classification of electromagnetic fields
Classification_of_electromagnetic_fields
American physicist
Lorentzian manifold to admit an interpretation as an exact non-null electrovacuum solution in general relativity; these are now known as the Rainich conditions
George_Yuri_Rainich
satisfied. This is what is meant by saying that there is an exact electrovacuum solution. In terms of our frame, the stress-energy tensor turns out to be
Monochromatic electromagnetic plane wave
Monochromatic_electromagnetic_plane_wave
for the Riemann tensor. In the case of vacuum solutions, electrovacuum solutions and perfect fluid solutions, the CM scalars comprise a complete set. Additional
Carminati–McLenaghan invariants
Carminati–McLenaghan_invariants
Statement of spherically symmetric spacetimes
Reissner–Nordström electrovacuum. In the Einstein-Maxwell theory, there exist spherically symmetric but not asymptotically flat solutions, such as the Bertotti-Robinson
Birkhoff's theorem (relativity)
Birkhoff's_theorem_(relativity)
Electrostatic lens Electrostatic levitation Electrostatics Electrostriction Electrovacuum solution Electrovibration Electroweak epoch Electroweak interaction Electroweak
Index_of_physics_articles_(E)
Classification used in differential geometry and general relativity
tensor: for example, the class of non-conformally flat null electrovacuum or null dust solutions admitting an expanding but nontwisting null congruence is
Petrov_classification
Italian physicist (1930–2018)
to general relativity, in particular the Bertotti–Robinson electrovacuum, an exact solution of the Einstein field equation. He pioneered the post-Minkowskian
Bruno_Bertotti
Proposed theory of gravitation
equation. Therefore, changes in ϕ {\displaystyle \phi } propagate through electrovacuum regions; in this sense, we say that ϕ {\displaystyle \phi } is a long-range
Brans–Dicke_theory
1968 – Brandon Carter solves the geodesic equations for Kerr–Newmann electrovacuum with Carter's constant. 1968 – Hugo D. Wahlquist discovers the Wahlquist
Timeline of gravitational physics and relativity
Timeline_of_gravitational_physics_and_relativity
Notation in general relativity
{1}{2}}R_{ab}\ell ^{a}n^{b}={\tfrac {1}{2}}R_{ab}m^{a}{\bar {m}}^{b}} for electrovacuum ( Λ = 0 {\displaystyle \Lambda =0} ). In a complex null tetrad, Ricci
Newman–Penrose_formalism
ELECTROVACUUM SOLUTION
ELECTROVACUUM SOLUTION
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Good or Happy condition, Solution
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Strategy; Idea; Trick; Solution; A Device; Planning
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Space; God of Tech; Bliss Solutions; Wise
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ELECTROVACUUM SOLUTION
ELECTROVACUUM SOLUTION
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English : occupational name for a mower or reaper of grass or hay, Old English mǣðere. Compare Mead, Mower. Hay was formerly of great importance, not only as feed for animals in winter but also for bedding.English : in southern Lancashire, where it has long been a common surname, it is probably a relatively late development of Madder (see Mader).English : The prominent Mather family of New England were established in America by Richard Mather (1596–1669) in 1635. He was a Puritan clergyman from a well-established family of Lowton, Lancashire, England. After he emigrated, he was in great demand as a preacher, finally settling in Dorchester, MA. His son Increase Mather (1639–1723) was a diplomat and president of Harvard. He married his step-sister Maria Cotton, herself the daughter of an eminent Puritan divine, John Cotton. Their son Cotton Mather (1663–1728) bore both family names. The latter was a minister who is remembered for his part in witchcraft trials, but he was also a man of science and a fellow of the Royal Society in London.
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English : variant of Wheatcroft.
ELECTROVACUUM SOLUTION
ELECTROVACUUM SOLUTION
ELECTROVACUUM SOLUTION
ELECTROVACUUM SOLUTION
ELECTROVACUUM SOLUTION
n.
A viscid liquid, consisting of a solution of resinous matter in an oil or a volatile liquid, laid on work with a brush, or otherwise. When applied the varnish soon dries, either by evaporation or chemical action, and the resinous part forms thus a smooth, hard surface, with a beautiful gloss, capable of resisting, to a greater or less degree, the influences of air and moisture.
n.
Indigo red, a product of the decomposition, or oxidation, of indican. It is sometimes found in the sediment of pathological urines. It is soluble in ether or alcohol, giving the solution a beautiful red color. Also called indigrubin.
n.
A mass of crystals, aggregated in arborescent forms, obtained by precipitation of a metal from solution. See Lead tree, under Lead.
v. t.
To bring back a metal to the metallic form, as from an oxide or solution; to reduce.
v. i.
To deposit salt as a saline solution; as, the brine begins to salt.
a.
Pertaining to, or designating, an acid, C5H8N4O6, which is obtained, as a white crystalline substance, by the slow oxidation of uric acid in alkaline solution.
n.
An alkaline salt of fluorescein, obtained as a brownish red substance, which is used as a dye; -- so called from the peculiar yellowish green fluorescence (resembling that of uranium glass) of its solutions. See Fluorescein.
n.
A solution of continuity in any of the soft parts of the body, discharging purulent matter, found on a surface, especially one of the natural surfaces of the body, and originating generally in a constitutional disorder; a sore discharging pus. It is distinguished from an abscess, which has its beginning, at least, in the depth of the tissues.
a.
Filled to repletion; holding by absorption, or in solution, all that is possible; as, saturated garments; a saturated solution of salt.
n.
A white concretionary form of calcium carbonate, usually hard and semicrystalline. It is deposited from the water of springs or streams holding lime in solution. Extensive deposits exist at Tivoli, near Rome.
n.
An instrument for measuring the amount of salt present in any given solution.
n.
An instrument for ascertaining the quantity of saccharine matter in any solution, as the juice of a plant, or brewers' and distillers' worts.
a.
Capable of absorbing or dissolving to a greater degree; as, an unsaturated solution.
n.
An instrument for measuring the degree of viscosity of liquids, as solutions of gum.
n.
A poisonous glucoside found in many plants, as in the root of soapwort (Saponaria), in the bark of soap bark (Quillaia), etc. It is extracted as a white amorphous powder, which occasions a soapy lather in solution, and produces a local anaesthesia. Formerly called also struthiin, quillaiin, senegin, polygalic acid, etc. By extension, any one of a group of related bodies of which saponin proper is the type.