Two-oscillator Kantowski–Sachs model of the Schwarzschild black hole interior
| Autor: | Ljubisa Nesic, Goran S. Djordjevic, Darko Radovancevic |
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| Rok vydání: | 2016 |
| Předmět: |
Physics
Physics and Astronomy (miscellaneous) 010308 nuclear & particles physics Coordinate system FOS: Physical sciences Zero-point energy General Relativity and Quantum Cosmology (gr-qc) Function (mathematics) 01 natural sciences Noncommutative geometry General Relativity and Quantum Cosmology Minisuperspace 0103 physical sciences Schwarzschild metric 010306 general physics Wave function Quantum Mathematical physics |
| Zdroj: | General Relativity and Gravitation. 48 |
| ISSN: | 1572-9532 0001-7701 |
| DOI: | 10.1007/s10714-016-2102-x |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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