Quantum thermodynamics in the interior of a Schwarzschild B-H
General Relativity and Quantum Cosmology
2021-08-16 v4 Quantum Physics
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: . 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.
Keywords
Cite
@article{arxiv.1904.11599,
title = {Quantum thermodynamics in the interior of a Schwarzschild B-H},
author = {Juan Ignacio Musmarra and Mauricio Bellini and Mariano Anabitarte},
journal= {arXiv preprint arXiv:1904.11599},
year = {2021}
}
Comments
Improved version. arXiv admin note: text overlap with arXiv:1908.11716