On the mass of a Kerr-anti-de Sitter spacetime in D dimensions
Nathalie Deruelle, Joseph Katz
TL;DR
This paper presents a method to compute the mass of Kerr-anti-de Sitter spacetimes in any dimension using a superpotential derived from Noether identities, confirming previous thermodynamic results.
Contribution
It introduces a general approach to calculate the mass of Kerr-AdS spacetimes across dimensions without relying on the source of curvature.
Findings
Mass calculation aligns with thermodynamic first law results
Method applicable in any dimension
Uses superpotential from Noether identities
Abstract
We show how to compute the mass of a Kerr-anti-de Sitter spacetime with respect to the anti-de Sitter background in any dimension, using a superpotential which has been derived from standard Noether identities. The calculation takes no account of the source of the curvature and confirms results obtained for black holes via the first law of thermodynamics.
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