Conserved charges of 3D black holes in ENMG theory from Wald formalism

Document Type : Full length research Paper

Author

Department of Physics, Faculty of Science, Hakim Sabzevari University, Sabzevar, Iran

Abstract

We will consider a toy model of generalization of three-dimensional (3D) gravity in the presence of higher curvature corrections known as extended new massive gravity (ENMG). By employing the Wald approach in the context of covariant phase space formalism, we compute the conserved charges of 3D rotating black holes in ENMG. In fact, we will obtain exact expressions for the mass and angular momentum of two kinds of rotating black holes the so called Banados-Teitelboim-Zanelli (BTZ) and warped anti-de Sitter (WAdS3) black holes. We show that these physical quantities not only satisfy the Smarr-like formula for the mass of a black hole but also fulfill the first law of black holes thermodynamics.

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References

 
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Journal of Research on Many-body Systems
Volume 11, Issue 3 - Serial Number 30
November 2021
Pages 166-178

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History

  • Receive Date: 01 February 2021
  • Revise Date: 25 April 2021
  • Accept Date: 29 August 2021

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