TY - JOUR

T1 - Scalar charges and the first law of black hole thermodynamics

AU - Astefanesei, Dumitru

AU - Ballesteros, Romina

AU - Choque, David

AU - Rojas, Raúl

N1 - Funding Information:
DA would like to thank Oscar Fuentealba for interesting conversations and Debora Rojas for her continuous support. We would also like to thank Marcela Cardenas, Felix-Louis Julie, and Nathalie Deruelle for useful correspondence. DA would like to thank CECs, Valdivia for the hospitality during the last stages of this research. This work has been funded by the FONDECYT Regular Grant 1161418 and Newton-Picarte Grant DPI20140115 . The work of DC is supported by FONDECYT Postdoc Grant 3180185 . RR was also supported by the national Ph.D. scholarship CONICYT 21140024 .
Funding Information:
DA would like to thank Oscar Fuentealba for interesting conversations and Debora Rojas for her continuous support. We would also like to thank Marcela Cardenas, Felix-Louis Julie, and Nathalie Deruelle for useful correspondence. DA would like to thank CECs, Valdivia for the hospitality during the last stages of this research. This work has been funded by the FONDECYT Regular Grant 1161418 and Newton-Picarte Grant DPI20140115. The work of DC is supported by FONDECYT Postdoc Grant 3180185. RR was also supported by the national Ph.D. scholarship CONICYT 21140024.
Publisher Copyright:
© 2018

PY - 2018/7/10

Y1 - 2018/7/10

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85046747678&partnerID=8YFLogxK

U2 - 10.1016/j.physletb.2018.05.005

DO - 10.1016/j.physletb.2018.05.005

M3 - Article

AN - SCOPUS:85046747678

VL - 782

SP - 47

EP - 54

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

ER -