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arXiv · 1510.00887

Two-oscillator Kantowski-Sachs model of the Schwarzschild black hole interior

Goran S. Djordjevic·Ljubisa Nesic·Darko Radovancevic
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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.

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Goran S. Djordjevic, Ljubisa Nesic, Darko Radovancevic. 2015-10-04. Two-oscillator Kantowski-Sachs model of the Schwarzschild black hole interior. https://doi.org/10.1007/s10714-016-2102-x

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