In general relativity, an electrovacuum solution (electrovacuum) is an exact solution of the Einstein field equation in which the only nongravitational mass–energy present is the field energy of an electromagnetic field, which must satisfy the (curved-spacetime) source-free Maxwell equations appropriate to the given geometry. For this reason, electrovacuums are sometimes called (source-free) Einstein–Maxwell solutions.
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In general relativity, an electrovacuumsolution (electrovacuum) is an exact solution of the Einstein field equation in which the only nongravitational...
regions in which no matter or non-gravitational fields are present, Electrovacuumsolutions: T α β {\displaystyle T^{\alpha \beta }} must arise entirely from...
theorem states that every isolated spherically symmetric vacuum or electrovacuumsolution of the Einstein field equation is static, but this is certainly...
classical gravitation, including the discovery of certain exact electrovacuumsolutions to the Einstein field equation. He edited a book (see citation...
perfect fluid). In the case of test particles in a vacuum solution or electrovacuumsolution, this turns out to imply that in addition to the tidal acceleration...
case of a charged particle, the geometry of the Reissner–Nordström electrovacuumsolution suggests that the symmetry between electric (which "end" in charges)...
include an observer attached to a free charged test particle in an electrovacuumsolution, which will of course be accelerated by the Lorentz force, or an...
satisfied. This is what is meant by saying that there is an exact electrovacuumsolution. In terms of our frame, the stress-energy tensor turns out to be...
the exact solution of the geodesic equations for the Kerr/Newman electrovacuumsolution, and the maximal analytic extension of this solution. In the process...
not. Individual electromagnetic plane waves are modeled by null electrovacuumsolutions, while an incoherent mixture can be modeled by a null dust. The...
transform solution generating methods), Peter G. Bergmann (constrained Hamiltonian dynamics), Bruno Bertotti (Bertotti–Robinson electrovacuum), Jiří Bičák...
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)...
which includes the well-known Wahlquist fluid and Kerr-Newman electrovacuumsolutions as special case. MacCallum, M. A. H.; Mars, M.; and Vera, R. Second...
singularity theorems. 1965 – Newman and others discover the Kerr–Newman electrovacuumsolution, 1965 – Penrose discovers the structure of the light cones in gravitational...
the same way on curved manifolds. Electromagnetic peeling theorem Electrovacuumsolution Lorentz group Petrov classification The rank given here corresponds...
Lorentzian manifold to admit an interpretation as an exact non-null electrovacuumsolution in general relativity; these are now known as the Rainich conditions...
accelerations of a small cloud of test particles in a vacuum solution or electrovacuumsolution. the magnetogravitic tensor B [ X → ] a b = ⋆ R a m b n X...
the only solution in general relativity, other than the Bertotti–Robinson electrovacuum, that has a Cartesian product structure. Exact solutions in general...
_{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...
Hartle and Hawking that these spacetimes can be analytically extended to electrovacuum black hole spacetimes with a regular domain of outer communication....
tensor: for example, the class of non-conformally flat null electrovacuum or null dust solutions admitting an expanding but nontwisting null congruence is...
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