Conserved charges and thermodynamics of the spinning Godel black hole
Glenn Barnich, Geoffrey Compere
TL;DR
This paper calculates the conserved charges and thermodynamic properties of a rotating Godel black hole in five-dimensional supergravity, introducing a new method for charge computation at finite radius.
Contribution
It presents a novel approach to compute conserved charges in gauge theories at finite radius and applies it to Godel black holes, deriving a generalized Smarr formula.
Findings
Mass, angular momenta, and charge are explicitly computed.
A generalized Smarr formula for Godel black holes is derived.
The first law of thermodynamics is verified for these solutions.
Abstract
We compute the mass, angular momenta and charge of the Godel-type rotating black hole solution to 5 dimensional minimal supergravity. A generalized Smarr formula is derived and the first law of thermodynamics is verified. The computation rests on a new approach to conserved charges in gauge theories that allows for their computation at finite radius.
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