Quasi-local conserved charges in Lorentz-diffeomorphism covariant theory of gravity
H. Adami, M. R. Setare
TL;DR
This paper derives a general formula for quasi-local conserved charges in covariant gravity theories using Lorentz-diffeomorphism symmetry, simplifies it for Lovelock gravity, and applies it to compute energy and angular momentum of a black hole solution.
Contribution
It introduces a unified approach to compute quasi-local conserved charges in covariant gravity theories and applies it to specific models like Lovelock and BHT gravity.
Findings
Derived a general formula for quasi-local conserved charges.
Simplified the formula for Lovelock gravity.
Computed energy and angular momentum for a rotating OTT black hole.
Abstract
In this paper, using the combined Lorentz-diffeomorphism symmetry, we find a general formula for quasi-local conserved charge of the covariant gravity theories in first order formalism of gravity. We simplify the general formula for Lovelock theory of gravity. Afterwards, we apply the obtained formula on BHT gravity to obtain energy and angular momentum of the rotating OTT black hole solution in the context of this theory.
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