English

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: Enrsh,n=/2E_n\, r_{sh,n}=\hbar/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.

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