Advances in Theoretical and Mathematical Physics

Volume 23 (2019)

Number 3

Entropy formula and conserved charges of $\textrm{Spin-3}$ Chern-Simons-like theories of gravity

Pages: 593 – 625

DOI: https://dx.doi.org/10.4310/ATMP.2019.v23.n3.a1

Authors

M. R. Setare (Department of Science, University of Kurdistan, Sanandaj, Kurdistan Province, Iran)

H. Adami (Department of Science, University of Kurdistan, Sanandaj, Kurdistan Province, Iran)

Abstract

In this paper we present the generalization of Chern-Simons-like theories of gravity (CSLTG) to $\textrm{Spin-3}$. We propose a Lagrangian describing the $\textrm{Spin-3}$ fields coupled to Chern-Simons-like theories of gravity. Then we obtain conserved charges of these theories by using a quasi-local formalism.We find a general formula for entropy of black holes solutions of $\textrm{Spin-3}$ CSLTG. As an example, we apply our formalism to the $\textrm{Spin-3}$ Generalized minimal massive gravity (GMMG) model. We analysis this model at linearized level and show that this model propagates two massive $\textrm{Spin-2}$ modes and two massive $\textrm{Spin-3}$ modes.We find no-ghost and no-tachyon conditions, which can be satisfied in the parameter space of the model. Then we find energy, angular momentum and entropy of a special black hole solution of this model.

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Published 4 December 2019