Conditions for nonexistence of static or stationary, Einstein-Maxwell, non-inheriting black-holes

Details Conditions for nonexistence of static or stationary, Einstein-Maxwell, non-inheriting black-holes Conditions for nonexistence of static or stationary, Einstein-Maxwell, non-inheriting black-holes

2006-11-05

arxiv.org/abs/gr-qc/0611035v1

Gen.Rel.Grav.39:111-127,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

19 pages, to appear in GERG

Scientific paper

10.1007/s10714-006-0363-5

We consider asymptotically-flat, static and stationary solutions of the Einstein equations representing Einstein-Maxwell space-times in which the Maxwell field is not constant along the Killing vector defining stationarity, so that the symmetry of the space-time is not inherited by the electromagnetic field. We find that static degenerate black hole solutions are not possible and, subject to stronger assumptions, nor are static, non-degenerate or stationary black holes. We describe the possibilities if the stronger assumptions are relaxed.

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