Quantum horizons and black hole entropy: Inclusion of distortion and rotation

TL;DR

This paper extends the quantum geometry framework of black hole horizons to include distorted and rotating horizons, showing that the entropy formula remains proportional to the horizon area with the same Barbero-Immirzi parameter.

Contribution

It generalizes the quantum horizon entropy calculation from spherical to axi-symmetric, including distortions and rotations, maintaining the area proportionality.

Findings

Entropy proportional to horizon area for type II horizons.

The Barbero-Immirzi parameter remains unchanged.

Extension of quantum horizon models to more general black hole geometries.

Abstract

Equilibrium states of black holes can be modelled by isolated horizons. If the intrinsic geometry is spherical, they are called type I while if it is axi-symmetric, they are called type II. The detailed theory of geometry of \emph{quantum} type I horizons and the calculation of their entropy can be generalized to type II, thereby including arbitrary distortions and rotations. The leading term in entropy of large horizons is again given by 1/4th of the horizon area for the \emph{same} value of the Barbero-Immirzi parameter as in the type I case. Ideas and constructions underlying this extension are summarized.