Super-entropic black hole with Immirzi hair

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 behaviour. 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 super-entropic nature of the black hole, and we discuss in detail the thermodynamic stability of the solution.

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• Dark matter candidate from torsion
• Light Deflection Angle by Superentropic Black Holes
• Torsion at different scales: from materials to the Universe
• Constraining the Barbero-Immirzi parameter from the duration of inflation in loop quantum cosmology
• Thermodynamics of $z=4$ Hořava-Lifshitz black holes
• On the stability of scale-invariant black holes
• Thermodynamic Instability of $3D$ Einstein-Born-Infeld AdS Black Holes
• Super-entropic black holes in gravity's rainbow and determining constraints on rainbow functions
• Barbero-Immirzi Value from Experiment
• Exact Black Hole Solutions with a Conformally Coupled Scalar Field and Dynamic Ricci Curvature in $f(R)$ Gravity Theories