Quantum tunneling from Schwarzschild black hole in non-commutative gauge theory of gravity
| Autor: | Touati, Abdellah, Zaim, Slimane |
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| Rok vydání: | 2023 |
| Předmět: | |
| Druh dokumentu: | Working Paper |
| Popis: | In this Letter, we present the first study of the Hawking radiation as a tunneling process in the noncommutative (NC) gauge theory of gravity. First, we reconstruct the non-commutative Schwarzschild black hole in the gauge theory of gravity, using the Seiberg-Witten map and the star product. Then, we calculate the emission spectrum of the outgoing massless particles, using the quantum tunneling mechanism. In first case, we calculate the tunneling rate of massless particles across the event horizon of the non-commutative Schwarzschild black hole with lower frequency, where the obtained results show a pure thermal radiation, where we find that the Hawking temperature is the same in the two approaches; the classical thermodynamics and the quantum tunneling approach which indicate the equivalence between these two in the NC spacetime. However, in the case of masseless particles emission with large frequency we take into account the conservation of energy.The tunneling rate deviates from the pure thermal radiation, but it's consistent with an underlying unitary quantum theory, then we find it related to the change in the black hole entropy, where this relation show a logarithmic correction to the entropy in this geometry. Moreover, we obtain the NC density number of the particles emission and finally, we discuss the results. Comment: 7 pages, 5 figures |
| Databáze: | arXiv |
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