Distorted Black Holes with Charge
Stephen Fairhurst, Badri Krishnan
TL;DR
This paper introduces new static, axisymmetric solutions to the Einstein-Maxwell equations describing charged black holes distorted by external matter, extending previous uncharged models and analyzing their thermodynamic laws.
Contribution
It provides the first explicit solutions for charged distorted black holes and proves their zeroth and first laws using two different frameworks.
Findings
New solutions for charged distorted black holes
Validation of thermodynamic laws for these black holes
Extension of previous uncharged black hole models
Abstract
We present new solutions to the Einstein-Maxwell equations representing a class of charged distorted black holes. These solutions are static-axisymmetric and are generalizations of the distorted black hole solutions studied by Geroch and Hartle. Physically, they represent a charged black hole distorted by external matter fields. We discuss the zeroth and first law for these black holes. The first law is proved in two different forms, one motivated by the isolated horizon framework and the other using normalizations at infinity.
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