Two-oscillator Kantowski-Sachs model of the Schwarzschild black hole interior
Abstract
In this paper the interior of the Schwarzschild black hole, which is presented as a vacuum homogeneous and anisotropic Kantowski-Sachs minisuperspace cosmological model, is considered. Lagrangian of the model is reduced by a suitable coordinate transformation to Lagrangian of two decoupled oscillators with the same frequencies and with zero energy in total (an oscillator-ghost-oscillator system). The model will be presented in a classical, a p-adic and a noncommutative case. Then, within the standard quantum approach Wheeler-DeWitt equation and its general solutions, i.e. a wave function of the model, will be written, and then an adelic wave function will be constructed. Finally, thermodynamics of the model will be studied by using the Feynman-Hibbs procedure.
Keywords
Cite
@article{arxiv.1510.00887,
title = {Two-oscillator Kantowski-Sachs model of the Schwarzschild black hole interior},
author = {Goran S. Djordjevic and Ljubisa Nesic and Darko Radovancevic},
journal= {arXiv preprint arXiv:1510.00887},
year = {2017}
}