• In general relativity, an electrovacuum solution (electrovacuum) is an exact solution of the Einstein field equation in which the only nongravitational...
    13 KB (1,982 words) - 12:13, 7 April 2025
  • asymptotically flat and stationary solution of the Einstein–Maxwell equations in general relativity. As an electrovacuum solution, it only includes those charges...
    31 KB (4,780 words) - 03:20, 1 June 2025
  • classical gravitation, including the discovery of certain exact electrovacuum solutions to the Einstein field equation. Louis W. Witten was born to a Jewish...
    7 KB (587 words) - 13:09, 24 May 2025
  • from the electrovacuum solutions, which take into account the electromagnetic field in addition to the gravitational field. Vacuum solutions are also...
    6 KB (841 words) - 02:11, 25 May 2025
  • regions in which no matter or non-gravitational fields are present, Electrovacuum solutions: T α β {\displaystyle T^{\alpha \beta }} must arise entirely from...
    25 KB (3,329 words) - 04:46, 13 January 2025
  • not. Individual electromagnetic plane waves are modeled by null electrovacuum solutions, while an incoherent mixture can be modeled by a null dust. The...
    5 KB (752 words) - 07:29, 8 April 2025
  • 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...
    4 KB (711 words) - 15:46, 13 July 2024
  • Thumbnail for Brandon Carter
    the exact solution of the geodesic equations for the Kerr/Newman electrovacuum solution, and the maximal analytic extension of this solution. In the process...
    5 KB (440 words) - 16:46, 24 May 2025
  • theorem states that every isolated spherically symmetric vacuum or electrovacuum solution of the Einstein field equation is static, but this is certainly...
    21 KB (4,089 words) - 10:33, 25 June 2024
  • case of a charged particle, the geometry of the Reissner–Nordström electrovacuum solution suggests that the symmetry between electric (which "end" in charges)...
    15 KB (1,722 words) - 04:07, 29 April 2025
  • Kerr metric (redirect from Kerr solution)
    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)...
    53 KB (6,963 words) - 11:17, 2 June 2025
  • 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...
    11 KB (1,497 words) - 10:41, 18 December 2024
  • 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...
    38 KB (6,686 words) - 21:26, 21 April 2025
  • transform solution generating methods), Peter G. Bergmann (constrained Hamiltonian dynamics), Bruno Bertotti (Bertotti–Robinson electrovacuum), Jiří Bičák...
    20 KB (1,819 words) - 22:31, 12 April 2025
  • 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...
    27 KB (5,003 words) - 05:33, 25 May 2025
  • Thumbnail for Maxwell's equations in curved spacetime
    relativity Introduction to the mathematics of general relativity Electrovacuum solution Paradox of radiation of charged particles in a gravitational field...
    31 KB (5,906 words) - 03:40, 6 May 2025
  • energy–momentum tensor for the gravitational field leads to the Kerr–Newman electrovacuum solution. Boyer, Robert H.; Lindquist, Richard W. (1967). "Maximal Analytic...
    8 KB (1,548 words) - 06:11, 9 April 2025
  • the only solution in general relativity, other than the Bertotti–Robinson electrovacuum, that has a Cartesian product structure. Exact solutions in general...
    6 KB (927 words) - 22:16, 9 February 2025
  • Hartle and Hawking that these spacetimes can be analytically extended to electrovacuum black hole spacetimes with a regular domain of outer communication....
    17 KB (2,116 words) - 23:05, 26 May 2025
  • Harold Urey Discovery of deuterium Elizabeth Baranger Louis Witten Electrovacuum solution Edward Witten M-theory Gregor Wentzel WKB approximation Donat Wentzel...
    5 KB (148 words) - 20:58, 4 June 2025
  • the same way on curved manifolds. Electromagnetic peeling theorem Electrovacuum solution Lorentz group Petrov classification The rank given here corresponds...
    8 KB (1,119 words) - 14:19, 12 February 2025
  • 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...
    3 KB (484 words) - 19:22, 28 January 2023
  • Weyl metrics (category Exact solutions in general relativity)
    _{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...
    21 KB (2,108 words) - 06:20, 28 December 2024
  • Monochromatic electromagnetic plane wave (category Exact solutions in general relativity)
    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...
    19 KB (3,519 words) - 06:43, 29 May 2024
  • Thumbnail for Birkhoff's theorem (relativity)
    Reissner–Nordström electrovacuum. In the Einstein-Maxwell theory, there exist spherically symmetric but not asymptotically flat solutions, such as the Bertotti-Robinson...
    6 KB (652 words) - 23:38, 25 May 2025
  • Electrostatic lens Electrostatic levitation Electrostatics Electrostriction Electrovacuum solution Electrovibration Electroweak epoch Electroweak interaction Electroweak...
    20 KB (2,038 words) - 06:17, 14 June 2024
  • Thumbnail for George Yuri Rainich
    Lorentzian manifold to admit an interpretation as an exact non-null electrovacuum solution in general relativity; these are now known as the Rainich conditions...
    12 KB (1,238 words) - 17:57, 26 May 2025
  • for the Riemann tensor. In the case of vacuum solutions, electrovacuum solutions and perfect fluid solutions, the CM scalars comprise a complete set. Additional...
    4 KB (1,023 words) - 08:15, 28 May 2025
  • Petrov classification (category Exact solutions in 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...
    17 KB (2,699 words) - 02:03, 25 May 2024
  • equation. Therefore, changes in ϕ {\displaystyle \phi } propagate through electrovacuum regions; in this sense, we say that ϕ {\displaystyle \phi } is a long-range...
    14 KB (2,324 words) - 11:07, 29 March 2025