Black hole entropy in the Chern-Simons-like theories of gravity and Lorentz-diffeomorphism Noether charge

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Publication:253036

DOI10.1016/J.NUCLPHYSB.2015.11.018zbMATH Open1332.83096arXiv1509.05972OpenAlexW2218417689MaRDI QIDQ253036

Author name not available (Why is that?)

Publication date: 7 March 2016

Published in: (Search for Journal in Brave)

Abstract: In the first order formalism of gravity theories, there are some theories which are not Lorentz-diffeomorphism covariant. In the framework of such theories we cannot apply the method of conserved charge calculation used in Lorentz-diffeomorphism covariant theories. In this paper we firstly introduce the total variation of a quantity due to an infinitesimal Lorentz-diffeomorphism transformation. Secondly, in order to obtain the conserved charges of Lorentz-diffeomorphism non-covariant theories, we extend the Tachikawa method cite{3}. This extension includes not only Lorentz gauge transformation but also the diffeomorphism. We apply this method to the Chern-Simons-like theories of gravity (CSLTG) and obtain a general formula for the entropy of black holes in those theories. Finally, some examples on CSLTG are provided and the entropy of the BTZ black hole is calculated in the context of the examples.


Full work available at URL: https://arxiv.org/abs/1509.05972




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