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

Abstract

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.

19 pages, to appear in GERG

References in corpus (2)

• On the topology of stationary black holes
• On non-existence of static vacuum black holes with degenerate components of the event horizon

Cited by in corpus (15)

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• Nonlinear electromagnetic fields and symmetries
• On the various aspects of electromagnetic potentials in spacetimes with symmetries
• Does three dimensional electromagnetic field inherit the spacetime symmetries?
• Divergence equations and uniqueness theorem of static black holes
• Generalizations and challenges for the spacetime block-diagonalization
• Stationary spacetimes with time-dependent real scalar fields
• Schwarzschild spacetime immersed in test nonlinear electromagnetic fields
• On stationary solutions to the vacuum Einstein field equations
• Symmetry Inheritance and Jebsen-Birkhoff Theorem
• A New Way of Proving Black Hole Rigidity