First law of black hole mechanics for charged black holes in a class of Horndeski theories

Authors

John de Leon Celestial ⋅ PH National Institute of Physics, University of the Philippines Diliman
Michael Francis Ian Guerra Vega, II ⋅ PH National Institute of Physics, University of the Philippines Diliman

Abstract

The first law of black hole mechanics is derived for a class of Horndeski theories in the presence of an electromagnetic field. It is shown that for this class of theories, the presence of a nontrivial scalar field does not modify the expression of the first law for black hole solutions of the Einstein-Maxwell system. In particular, it is shown that the Bekenstein-Hawking formula for the black hole entropy remains valid.

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Issue

2020: Proceedings of the 38th Samahang Pisika ng Pilipinas Physics Conference

Shedding light on the pandemic through the lens of physics
Pagtanglaw sa pandemya sa lente ng pisika
19-23 October 2020

This is the first fully online SPP Physics Conference. Please visit the SPP2020 activity webpage for more information on this year's Physics Congress.

Article ID

SPP-2020-2G-09

Section

Theoretical and Mathematical Physics (Short Presentations)

Published

2020-10-19

How to Cite

[1]

J de L Celestial and MFIG Vega, First law of black hole mechanics for charged black holes in a class of Horndeski theories, Proceedings of the Samahang Pisika ng Pilipinas 38, SPP-2020-2G-09 (2020). URL: https://proceedings.spp-online.org/article/view/SPP-2020-2G-09.