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Hairy black holes, scalar charges and extended thermodynamics

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arxiv 2308.04994 v2 pith:ZMWVNPM6 submitted 2023-08-09 gr-qc hep-th

Romina Ballesteros , Tomás Ortín This is my paper · ORCID
classification gr-qchep-th
keywords scalarblackconditionsextendedhairypotentialthermodynamicsallow
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We explore the use of the recently defined scalar charge which satisfies a Gauss law in stationary spacetimes, in the context of theories with a scalar potential. We find new conditions that this potential has to satisfy in order to allow for static, asymptotically-flat black-hole solutions with regular horizons and non-trivial scalar field. These conditions are equivalent to some of the known ``no-hair'' theorems (such as Bekenstein's). We study the extended thermodynamics of these systems, deriving a first law and a Smarr formula. As an example, we study the Anabal\'on-Oliva hairy black hole

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Cited by 1 Pith paper

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  1. On the thermodynamics of the black holes of the Cano-Ruip\'erez 4-dimensional string effective action

    hep-th 2024-11 conditional novelty 6.0 of 10

    The paper derives a Smarr formula and no-hair theorems for string-corrected black holes, with the string length acting as a thermodynamic variable.

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