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On scalar charges and black hole thermodynamics

Romina Ballesteros
(
- Madrid, IFT and
- Valparaiso U., Catolica
)
,
Carmen Gómez-Fayrén
(
- Madrid, IFT
)
,
Tomás Ortín
(
- Madrid, IFT
)
,
Matteo Zatti
(
- Madrid, IFT
)

Feb 22, 2023

Published in:

JHEP 05 (2023) 158

Published: May 18, 2023

e-Print:

2302.11630 [hep-th]

DOI:

10.1007/JHEP05(2023)158

Report number:

IFT-UAM/CSIC-23-018

View in:

ADS Abstract Service

reference search16 citations

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Abstract: (Springer)

We revisit the first law of black hole thermodynamics in 4-dimensional theories containing scalar and Abelian vector fields coupled to gravity using Wald’s formalism and a new definition of scalar charge as an integral over a 2-surface which satisfies a Gauss law in the background of stationary black-hole spacetimes. We focus on ungauged supergravity-inspired theories with symmetric sigma models whose symmetries generate electric-magnetic dualities leaving invariant their equations of motion. Our manifestly duality-invariant form of the first law is compatible with the one obtained by of Gibbons, Kallosh and Kol. We also obtain the general expression for the scalar charges of a stationary black hole in terms of the other physical parameters of the solution and the position of the horizon, generalizing the expression obtained by Pacilio for dilaton black holes.

Note:

Misprints corrected and a few comments and references added. Version to be published in JHEP

Black Holes
Global Symmetries
Space-Time Symmetries
Black Holes in String Theory
charge: scalar
black hole: thermodynamics
field theory: vector
space-time: black hole
abelian
gravitation

References(54)

Figures(0)

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