Schwarzschild black hole immersed in a homogeneous electromagnetic field

Details Schwarzschild black hole immersed in a homogeneous electromagnetic field Schwarzschild black hole immersed in a homogeneous electromagnetic field

Feb 1996

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1996phrvd..53.1853a&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 53, Issue 4, 15 February 1996, pp.1853-1867

Statistics

Applications

8

Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Exact Solutions, Classical Black Holes

Scientific paper

An exact and simple enough solution of the Einstein-Maxwell field equations is presented. This electrovacuum static axisymmetric solution possesses a clear physical interpretation: it is an external field of nonrotating uncharged mass immersed in homogeneous external electromagnetic and gravitational fields-the Bertotti-Robinson universe. Unlike the well known Ernst solution for a black hole in the Melvin universe, in our solution the black hole is immersed in a space-time with a completely spatially homogeneous magnetic (or electric) field and with a different (R2×S2) topology. The influence of this specific background space-time topology, the structure of curvature singularities, the relation between the laws of motion, and the condition of the absence of any unphysical noncurvature singularities as well as some other questions are considered. A brief sketch of the solution construction method used here and of its various applications, a comparison with other methods, as well as a general discussion concerning the construction of solutions for interacting fields are presented in the Appendix.

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