In the context of f(R)generalizations to the Holst action, endowed with a dynamical Immirzi field, we derive an analytic solution describing asymptotically anti–de Sitter black holes with hyperbolic horizon. These exhibit a scalar hair of the second kind, which ultimately depends on the Immirzi field radial behavior. In particular, we show how the Immirzi field modifies the usual entropy law associated to the black hole. We also verify that the Immirzi field boils down to a constant value in the asymptotic region, thus restoring the standard loop quantum gravity picture. We finally prove the violation of the reverse isoperimetric inequality, resulting in the superentropic nature of the black hole, and we discuss in detail the thermodynamic stability of the solution.

Superentropic black hole with Immirzi hair / Boudet, Simon; Bombacigno, Flavio; Montani, Giovanni; Rinaldi, Massimiliano. - In: PHYSICAL REVIEW D. - ISSN 2470-0029. - 103:(2021), pp. 084034.1-084034.14. [10.1103/PhysRevD.103.084034]

Superentropic black hole with Immirzi hair

Boudet, Simon;Rinaldi, Massimiliano
2021-01-01

Abstract

In the context of f(R)generalizations to the Holst action, endowed with a dynamical Immirzi field, we derive an analytic solution describing asymptotically anti–de Sitter black holes with hyperbolic horizon. These exhibit a scalar hair of the second kind, which ultimately depends on the Immirzi field radial behavior. In particular, we show how the Immirzi field modifies the usual entropy law associated to the black hole. We also verify that the Immirzi field boils down to a constant value in the asymptotic region, thus restoring the standard loop quantum gravity picture. We finally prove the violation of the reverse isoperimetric inequality, resulting in the superentropic nature of the black hole, and we discuss in detail the thermodynamic stability of the solution.
2021
Boudet, Simon; Bombacigno, Flavio; Montani, Giovanni; Rinaldi, Massimiliano
Superentropic black hole with Immirzi hair / Boudet, Simon; Bombacigno, Flavio; Montani, Giovanni; Rinaldi, Massimiliano. - In: PHYSICAL REVIEW D. - ISSN 2470-0029. - 103:(2021), pp. 084034.1-084034.14. [10.1103/PhysRevD.103.084034]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11572/303567
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