Hairy black holes, scalar charges and extended thermodynamics
Romina Ballesteros, Tomás Ortı́n
Abstract
Abstract 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 Anabalón–Oliva hairy black hole.
Topics & Concepts
PhysicsFirst law of thermodynamicsScalar (mathematics)Black hole (networking)Black hole thermodynamicsTheoretical physicsClassical mechanicsScalar fieldContext (archaeology)Mathematical physicsThermodynamicsEntropy (arrow of time)GeometryPaleontologyRouting (electronic design automation)BiologyComputer networkLink-state routing protocolComputer scienceMathematicsRouting protocolBlack Holes and Theoretical PhysicsCosmology and Gravitation TheoriesRelativity and Gravitational Theory