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Quantum Phenomena Inside a Black Hole: Quantization of the Scalar Field Iniside Horizon in Schwarzschild Spacetime

Authors :
Pawel Gusin
Andrzej Radosz
Andy T. Augousti
Janos Polonyi
Oleg B. Zaslavskii
Romuald J. Ściborski
Source :
Universe, Vol 9, Iss 7, p 299 (2023)
Publication Year :
2023
Publisher :
MDPI AG, 2023.

Abstract

We discuss the problem of the quantization and dynamic evolution of a scalar free field in the interior of a Schwarzschild black hole. A unitary approach to the dynamics of the quantized field is proposed: a time-dependent Hamiltonian governing the Heisenberg equations is derived. It is found that the system is represented by a set of harmonic oscillators coupled via terms corresponding to the creation and annihilation of pairs of particles and that the symmetry properties of the spacetime, homogeneity and isotropy are obeyed by the coupling terms in the Hamiltonian. It is shown that Heisenberg equations for annihilation and creation operators are transformed into ordinary differential equations for appropriate Bogolyubov coefficients. Such a formulation leads to a general question concerning the possibility of gravitationally driven instability, that is however excluded in this case.

Details

Language :
English
ISSN :
22181997
Volume :
9
Issue :
7
Database :
Directory of Open Access Journals
Journal :
Universe
Publication Type :
Academic Journal
Accession number :
edsdoj.8568319046a141baa331ca9591de88b9
Document Type :
article
Full Text :
https://doi.org/10.3390/universe9070299