Conserved charges in 3D gravity
M. Blagojevi\'c, B. Cvetkovi\'c
TL;DR
This paper tests Nester's covariant canonical expression for conserved charges in various 3D gravity models, confirming that energy-momentum and angular momentum satisfy the first law of black hole thermodynamics.
Contribution
It demonstrates the applicability of Nester's conserved charge expression across different 3D gravity theories, including torsion and topologically massive gravity.
Findings
Energy-momentum and angular momentum satisfy the first law of black hole thermodynamics.
The covariant canonical expression accurately computes conserved charges in tested models.
Results support the validity of Nester's approach in diverse 3D gravity contexts.
Abstract
The covariant canonical expression for the conserved charges, proposed by Nester, is tested on several solutions in 3D gravity with or without torsion and topologically massive gravity. In each of these cases, the calculated values of energy-momentum and angular momentum are found to satisfy the first law of black hole thermodynamics.
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