Holographic Dual of Extended Black Hole Thermodynamics

Open Access

Holographic Dual of Extended Black Hole Thermodynamics

Moaathe Belhaj Ahmed, Wan Cong, David Kubizňák, Robert B. Mann, and Manus R. Visser

Phys. Rev. Lett. 130, 181401 – Published 2 May 2023

Abstract

By respecting the conformal symmetry of the dual conformal field theory, and treating the conformal factor of the Anti-de Sitter boundary as a thermodynamic parameter, we formulate the holographic first law that is exactly dual to the first law of extended black hole thermodynamics with variable cosmological constant but fixed Newton’s constant.

Received 23 February 2023
Accepted 10 April 2023

DOI:https://doi.org/10.1103/PhysRevLett.130.181401

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Fluid-gravity correspondence General relativity formalism Gravitation

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Moaathe Belhaj Ahmed ¹, Wan Cong^2,*, David Kubizňák ^3,†, Robert B. Mann^1,‡, and Manus R. Visser ^4,§

¹Department of Physics and Astronomy, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
²University of Vienna, Faculty of Physics, Boltzmanngasse 5, A 1090 Vienna, Austria
³Institute of Theoretical Physics, Faculty of Mathematics and Physics, Charles University, Prague, V Holešovičkách 2, 180 00 Prague 8, Czech Republic
⁴Department of Applied Mathematics and Theoretical Physics, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, United Kingdom