Quantum thermodynamics in the interior of a Schwarzschild B-H

Abstract

We study the interior of a Schwarzschild Black-Hole (B-H) using Relativistic Quantum Geometry described in \cite{rb} and \cite{rb1}. We found discrete energy levels for a scalar field from a polynomial condition for Heun Confluent functions expanded around the Schwarzschild radius. From the solutions it is obtained that the uncertainty principle is valid for each energy level of space-time, in the form: $E_n{r}_{sh,n}=\hslash /2$. Temperature, entropy and the B-H mass are dependent on the number of states in the B-H, such that the Bekenstein-Hawking (BH) results are obtained in a limit case.

Improved version. arXiv admin note: text overlap with arXiv:1908.11716

References in corpus (1)

• Quantum thermodynamics in the interior of a Reissner-Nordström black-hole

Cited by in corpus (1)

• Noncommutative Schwarzschild black hole surrounded by quintessence: Thermodynamics, Shadows and Quasinormal modes