Entropy of a Kerr-de Sitter black hole due to arbitrary spin fields

TL;DR

This paper derives the equations governing various massless fields in Kerr-de Sitter spacetime and calculates the black hole entropy contribution from arbitrary spin fields, revealing dependencies on spin, angular momentum, and cosmological constant.

Contribution

It introduces a comprehensive calculation of black hole entropy considering arbitrary spin fields using the Newman-Penrose formalism and an improved brick wall model.

Findings

Entropy correction depends on the square of particle spins.

Logarithmic correction influenced by black hole rotation and cosmological constant.

Subleading entropy terms are affected by particle spin and black hole parameters.

Abstract

The Newman-Penrose formalism is used to derive the Teukolsky master equations controlling massless scalar, neutrino, electromagnetic, gravitino, and gravitational field perturbations of the Kerr-de Sitter spacetime. Then the quantum entropy of a non-extreme Kerr-de Sitter black hole due to arbitrary spin fields is calculated by the improved thin-layer brick wall model. It is shown that the subleading order contribution to the entropy is dependent on the square of the spins of particles and that of the specific angular momentum of black holes as well as the cosmological constant. The logarithmic correction of the spins of particles to the entropy relies on the rotation of the black hole and the effect of the cosmological constant.