# Quantization of horizon area of Kerr-Newman-de Sitter black hole

## TL;DR

This paper investigates the quantization of entropy and horizon area of Kerr-Newman-de Sitter black holes using adiabatic invariants and Bohr-Sommerfeld rule, confirming Bekenstein's area quantum and showing coordinate invariance.

## Contribution

It presents a novel analysis of black hole entropy and area quantization that is consistent across different coordinate systems and aligns with established quantum results.

## Key findings

- Entropy spectrum is independent of black hole parameters.
- Horizon area quantum matches Bekenstein's prediction.
- Quantization method is valid in multiple coordinate systems.

## Abstract

Using the adiabatic invariant action and applying Bohr-Sommerfeld quantization rule and first law of black hole thermodynamics a study of quantization of entropy and horizon area of Kerr-Newman-de Sitter black hole is carried out. The same entropy spectrum is obtained in two different coordinate systems. It is also observed that the spacing of the entropy spectrum is independent of the black hole parameters and also the corresponding quantum of horizon area is in agreement with the results of Bekenstein.