Kerr-Newman black hole in the formalism of isolated horizons

Abstract

The near horizon geometry of general black holes in equilibrium can be conveniently characterized in the formalism of weakly isolated horizons in the form of the Bondi-like expansions (Krishnan B, Class.\ Quantum Grav.\ 29, 205006, 2012). While the intrinsic geometry of the Kerr-Newman black hole has been extensively investigated in the weakly isolated horizon framework, the off-horizon description in the Bondi-like system employed by Krishnan has not been studied. We extend Krishnan's work by explicit, non-perturbative construction of the Bondi-like tetrad in the full Kerr-Newman spacetime. Namely, we construct the Bondi-like tetrad which is parallelly propagated along a nontwisting null geodesic congruence transversal to the horizon and provide all Newman-Penrose scalars associated with this tetrad. This work completes the description of the Kerr-Newman spacetime in the formalism of weakly isolated horizons and is a starting point for the investigation of deformed black holes.

16 pages, 6 figures

References in corpus (4)

• No-hair theorem for Black Holes in Astrophysical Environments
• Stationary Black Holes as Holographs
• Parallel-propagated frame along null geodesics in higher-dimensional black hole spacetimes
• The Meissner effect for weakly isolated horizons

Cited by in corpus (5)

• Horizons in a binary black hole merger I: Geometry and area increase
• Quasi-Local Black Hole Horizons: Recent Advances
• Initial data for a deformed isolated horizon
• Kerr black hole in the formalism of isolated horizons
• Kerr isolated horizon revisited: Caustic-free congruence and adapted tetrad