Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity
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arXiv
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| Autori principali: | , , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866918028602507264 |
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| author | Junior, Ednaldo L. B. Junior, José Tarciso S. S. Lobo, Francisco S. N. Rodrigues, Manuel E. Rubiera-Garcia, Diego da Silva, Luís F. Dias Vieira, Henrique A. |
| author_facet | Junior, Ednaldo L. B. Junior, José Tarciso S. S. Lobo, Francisco S. N. Rodrigues, Manuel E. Rubiera-Garcia, Diego da Silva, Luís F. Dias Vieira, Henrique A. |
| contents | In this paper, we study time-like geodesics around a spherically symmetric black hole in Kalb-Ramond (KR) gravity, characterized by the parameter $l$, which induces spontaneous Lorentz symmetry breaking. The geodesic equations and effective potential are derived to investigate the influence of $l$. We calculate the marginally bound orbits and innermost stable circular orbits, analyzing the parameter's impact. Periodic orbits are computed numerically and classified within the standard taxonomy, revealing significant effects of $l$ on their momentum and energy. Additionally, we explore an extreme mass ratio inspiral system under the adiabatic approximation to derive gravitational waveforms emitted by an object orbiting a supermassive black hole in KR gravity. These waveforms reflect the distinctive characteristics of periodic orbits and highlight the influence of $l$. With advancements in gravitational wave detection, these results offer insights into black holes influenced by Lorentz symmetry-breaking fields. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_00769 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity Junior, Ednaldo L. B. Junior, José Tarciso S. S. Lobo, Francisco S. N. Rodrigues, Manuel E. Rubiera-Garcia, Diego da Silva, Luís F. Dias Vieira, Henrique A. General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory In this paper, we study time-like geodesics around a spherically symmetric black hole in Kalb-Ramond (KR) gravity, characterized by the parameter $l$, which induces spontaneous Lorentz symmetry breaking. The geodesic equations and effective potential are derived to investigate the influence of $l$. We calculate the marginally bound orbits and innermost stable circular orbits, analyzing the parameter's impact. Periodic orbits are computed numerically and classified within the standard taxonomy, revealing significant effects of $l$ on their momentum and energy. Additionally, we explore an extreme mass ratio inspiral system under the adiabatic approximation to derive gravitational waveforms emitted by an object orbiting a supermassive black hole in KR gravity. These waveforms reflect the distinctive characteristics of periodic orbits and highlight the influence of $l$. With advancements in gravitational wave detection, these results offer insights into black holes influenced by Lorentz symmetry-breaking fields. |
| title | Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity |
| topic | General Relativity and Quantum Cosmology High Energy Astrophysical Phenomena High Energy Physics - Theory |
| url | https://arxiv.org/abs/2412.00769 |