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 - 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

SN - 0370-2693

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

ER -