6533b7d0fe1ef96bd125a524

RESEARCH PRODUCT

Super-entropic black hole with Immirzi hair

Giovanni MontaniGiovanni MontaniSimon BoudetMassimiliano RinaldiFlavio Bombacigno

subject

PhysicsHigh Energy Physics - TheoryField (physics)HorizonScalar (mathematics)FOS: Physical sciencesContext (language use)Loop quantum gravityGeneral Relativity and Quantum Cosmology (gr-qc)General Relativity and Quantum CosmologyBlack holeGeneral Relativity and Quantum CosmologyHigh Energy Physics - Theory (hep-th)Isoperimetric inequalityEntropy (arrow of time)Mathematical physics

description

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.

https://dx.doi.org/10.48550/arxiv.2012.02700