Killing Horizons as Equipotential Hypersurfaces

Abstract

In this note we present a new proof that Killing horizons are equipotential hypersurfaces for the electric and the magnetic scalar potential, that makes no use of gravitational field equations or the assumption about the existence of bifurcation surface.

8 pages; revised, published version; several assumptions removed from the final theorem

References in corpus (2)

• The "physical process" version of the first law and the generalized second law for charged and rotating black holes
• First law of black hole mechanics in Einstein-Maxwell and Einstein-Yang-Mills theories

Cited by in corpus (10)

• Black hole thermodynamics in the presence of nonlinear electromagnetic fields
• Generalizations of the Smarr formula for black holes with nonlinear electromagnetic fields
• Symmetry inheritance of scalar fields
• Constraints on the symmetry noninheriting scalar black hole hair
• 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?
• Subtleties of Invariance, Covariance and Observer Independence
• Schwarzschild spacetime immersed in test nonlinear electromagnetic fields
• Symmetry Inheritance and Jebsen-Birkhoff Theorem