Mass and angular momenta of Kerr anti-de Sitter spacetimes in Einstein-Gauss-Bonnet theory
Nathalie Deruelle, Yoshiyuki Morisawa
TL;DR
This paper calculates the mass and angular momenta of rotating anti-de Sitter black holes within Einstein-Gauss-Bonnet gravity, utilizing a superpotential approach based on Noether identities and recent Kerr-AdS solutions.
Contribution
It introduces a method to compute conserved charges in Einstein-Gauss-Bonnet theory using a superpotential derived from Noether identities, applied to new Kerr-AdS solutions.
Findings
Mass and angular momenta formulas for Kerr-AdS in Einstein-Gauss-Bonnet gravity.
Validation of the superpotential method for conserved charges.
Application to D-dimensional Kerr-AdS solutions.
Abstract
We compute the mass and angular momenta of rotating anti-de Sitter spacetimes in Einstein-Gauss-Bonnet theory of gravity using a superpotential derived from standard Noether identities. The calculation relies on the fact that the Einstein and Einstein-Gauss-Bonnet vacuum equations are the same when linearized on maximally symmetric backgrounds and uses the recently discovered D-dimensional Kerr-anti-de Sitter solutions to Einstein's equations.
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