Scalar charges and the first law of black hole thermodynamics

We present a variational formulation of Einstein–Maxwell-dilaton theory in flat spacetime, when the asymptotic value of the scalar field is not fixed. We obtain the boundary terms that make the variational principle well posed and then compute the finite gravitational action and corresponding Brown–...

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Main Authors: Dumitru Astefanesei, Romina Ballesteros, David Choque, Raúl Rojas
Format: Article
Language:English
Published: Elsevier 2018-07-01
Series:Physics Letters B
Online Access:http://www.sciencedirect.com/science/article/pii/S0370269318303691
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author Dumitru Astefanesei
Romina Ballesteros
David Choque
Raúl Rojas
author_facet Dumitru Astefanesei
Romina Ballesteros
David Choque
Raúl Rojas
author_sort Dumitru Astefanesei
collection DOAJ
description We present a variational formulation of Einstein–Maxwell-dilaton theory in flat spacetime, when the asymptotic value of the scalar field is not fixed. We obtain the boundary terms that make the variational principle well posed and then compute the finite gravitational action and corresponding Brown–York stress tensor. We show that the total energy has a new contribution that depends on the asymptotic value of the scalar field and discuss the role of scalar charges for the first law of thermodynamics. We also extend our analysis to hairy black holes in Anti-de Sitter spacetime and investigate the thermodynamics of an exact solution that breaks the conformal symmetry of the boundary.
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spelling doaj.art-17c985c8ab07479fbb78453c7f2f79682022-12-22T02:57:05ZengElsevierPhysics Letters B0370-26932018-07-017824754Scalar charges and the first law of black hole thermodynamicsDumitru Astefanesei0Romina Ballesteros1David Choque2Raúl Rojas3Pontificia Universidad Católica de Valparaíso, Instituto de Física, Av. Brasil 2950, Valparaíso, Chile; Corresponding author.Pontificia Universidad Católica de Valparaíso, Instituto de Física, Av. Brasil 2950, Valparaíso, ChileUniversidad Adolfo Ibáñez, Dept. de Ciencias, Facultad de Artes Liberales, Av. Padre Hurtado 750, Viña del Mar, Chile; Universidad Nacional de San António Abad del Cusco, Av. La Cultura 733, Cusco, PeruPontificia Universidad Católica de Valparaíso, Instituto de Física, Av. Brasil 2950, Valparaíso, ChileWe present a variational formulation of Einstein–Maxwell-dilaton theory in flat spacetime, when the asymptotic value of the scalar field is not fixed. We obtain the boundary terms that make the variational principle well posed and then compute the finite gravitational action and corresponding Brown–York stress tensor. We show that the total energy has a new contribution that depends on the asymptotic value of the scalar field and discuss the role of scalar charges for the first law of thermodynamics. We also extend our analysis to hairy black holes in Anti-de Sitter spacetime and investigate the thermodynamics of an exact solution that breaks the conformal symmetry of the boundary.http://www.sciencedirect.com/science/article/pii/S0370269318303691
spellingShingle Dumitru Astefanesei
Romina Ballesteros
David Choque
Raúl Rojas
Scalar charges and the first law of black hole thermodynamics
Physics Letters B
title Scalar charges and the first law of black hole thermodynamics
title_full Scalar charges and the first law of black hole thermodynamics
title_fullStr Scalar charges and the first law of black hole thermodynamics
title_full_unstemmed Scalar charges and the first law of black hole thermodynamics
title_short Scalar charges and the first law of black hole thermodynamics
title_sort scalar charges and the first law of black hole thermodynamics
url http://www.sciencedirect.com/science/article/pii/S0370269318303691
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