Quasi-local Energy in 3D Gravity with Torsion
High Energy Physics - Theory
2021-04-06 v3 General Relativity and Quantum Cosmology
Abstract
We show that for generic stationary spacetime and specific Killing fields, Wald's approach for quasi-local energy could be generalized to the first order formalism straightforwardly without introducing the Lorentz-Lie derivative. Via this approach, we derive the general formula for the black hole entropy in three dimensional torsional Mielke-Baekler gravity, reproducing precisely the total energy, the angular momentum as well as the black hole entropy for the BTZ-like solutions.
Keywords
Cite
@article{arxiv.1807.08736,
title = {Quasi-local Energy in 3D Gravity with Torsion},
author = {Cheng-Hao Wei and Bo Ning},
journal= {arXiv preprint arXiv:1807.08736},
year = {2021}
}
Comments
are welcome; 16 pages; v2: typos corrected; v3: presentation improved