Near horizon symmetries of the non-extremal black hole solutions of generalized minimal massive gravity

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Publication:1801140

DOI10.1016/J.PHYSLETB.2016.07.022zbMATH Open1398.83060arXiv1606.02273OpenAlexW2416597076MaRDI QIDQ1801140

Author name not available (Why is that?)

Publication date: 26 October 2018

Published in: (Search for Journal in Brave)

Abstract: We consider the Generalized Minimal Massive Gravity (GMMG) model in the first order formalism. We show that all the solutions of the Einstein gravity with negative cosmological constants solve the equations of motion of considered model. Then we find an expression for the off-shell conserved charges of this model. By considering the near horizon geometry of a three dimensional black hole in the Gaussian null coordinates, we find near horizon conserved charges and their algebra. The obtained algebra is centrally extended. By writing the algebra of conserved charges in terms of Fourier modes and considering the BTZ black hole solution as an example, one can see that the charge associated with rotations along mathcalY0 coincides exactly with the angular momentum, and he charge associated with time translations mathcalT0 is the product of the black hole entropy and its temperature. As we expect, in the limit when the GMMG tends to the Einstein gravity, all the result we obtain in this paper reduce to the result of the paper cite{5}.


Full work available at URL: https://arxiv.org/abs/1606.02273




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