Statistics – Computation
Scientific paper
Jul 1991
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1991baicz..42..247k&link_type=abstract
Astronomical Institutes of Czechoslovakia, Bulletin (ISSN 0004-6248), vol. 42, no. 4, July 1991, p. 247-250.
Statistics
Computation
Computational Astrophysics, Einstein Equations, Maxwell Equation, Relativity, Asymptotic Methods, Black Holes (Astronomy), Space-Time Functions
Scientific paper
The stationary asymptotically flat electrovacuum solutions of the Einstein-Maxwell equations are examined with particular attention given to astrophysical applications. The static case is developed for three classes of solutions which extend the work of Gutsunaev and Manko (1988), and two solutions are added. A singularity is identified which is not considered to represent any physically meaningful source, and only some of the solutions are found to have a symmetry with respect to the equatorial plane. Of the class-III solutions, only those with a symmetry (in which the value n is even) can be of astrophysical relevance. A two-parameter stationary generalization of a class-III solution is developed and analyzed numerically showing that the space-time does not meet the usual definition of a black hole with a topologically spherical horizon. Asymptotical flatness restricts the solution, and the astrophysical constraint does not have a firm theoretical basis.
Karas Vladimir
Vokrouhlicky David
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