Radiative transition of an atom falling into spherically symmetric Lorentz violating black hole background
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| Format: | Preprint |
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2025
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| _version_ | 1866909780738572288 |
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| author | Rahaman, Anisur |
| author_facet | Rahaman, Anisur |
| contents | In this work, we explore the intriguing phenomenon of acceleration radiation exhibited by an atom falling into a black hole, as previously studied in Phys. Rev. Lett. 121, 071301 (2018) . Our investigation focuses on examining the impact of Lorentz violation within the framework of the bumblebee gravity model on this phenomenon. We observe that the excitation probability although acquires Planck-like factor the exponential part of it acquires the Lorentz violation factor dependent frequency. However, equivalence principle is not violated. Then we calculate the horizon brightened acceleration radiation (HBAR) entropy for this black hole geometry. We observed that the HBAR entropy has the form similar to that of Bekenstein-Hawking black hole entropy however it has been observed that it is also influenced by Lorentz violation associated to the Bumblebee theory. Additionally, we note that the Lorentz violation effect and conformal symmetry both affect the transition probabilities of a two-level atomic detector. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2503_23553 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Radiative transition of an atom falling into spherically symmetric Lorentz violating black hole background Rahaman, Anisur General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics In this work, we explore the intriguing phenomenon of acceleration radiation exhibited by an atom falling into a black hole, as previously studied in Phys. Rev. Lett. 121, 071301 (2018) . Our investigation focuses on examining the impact of Lorentz violation within the framework of the bumblebee gravity model on this phenomenon. We observe that the excitation probability although acquires Planck-like factor the exponential part of it acquires the Lorentz violation factor dependent frequency. However, equivalence principle is not violated. Then we calculate the horizon brightened acceleration radiation (HBAR) entropy for this black hole geometry. We observed that the HBAR entropy has the form similar to that of Bekenstein-Hawking black hole entropy however it has been observed that it is also influenced by Lorentz violation associated to the Bumblebee theory. Additionally, we note that the Lorentz violation effect and conformal symmetry both affect the transition probabilities of a two-level atomic detector. |
| title | Radiative transition of an atom falling into spherically symmetric Lorentz violating black hole background |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2503.23553 |