Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb–Ramond gravity
Abstract 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...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-05-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14299-3 |
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| author | Ednaldo L. B. Junior José Tarciso S. S. Junior Francisco S. N. Lobo Manuel E. Rodrigues Diego Rubiera-Garcia Luís F. Dias da Silva Henrique A. Vieira |
| author_facet | Ednaldo L. B. Junior José Tarciso S. S. Junior Francisco S. N. Lobo Manuel E. Rodrigues Diego Rubiera-Garcia Luís F. Dias da Silva Henrique A. Vieira |
| author_sort | Ednaldo L. B. Junior |
| collection | DOAJ |
| description | Abstract 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 | Article |
| id | doaj-art-85aa63111f2b4b16bd00526db5f14cbb |
| institution | DOAJ |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-85aa63111f2b4b16bd00526db5f14cbb2025-08-20T03:08:44ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-05-0185511810.1140/epjc/s10052-025-14299-3Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb–Ramond gravityEdnaldo L. B. Junior0José Tarciso S. S. Junior1Francisco S. N. Lobo2Manuel E. Rodrigues3Diego Rubiera-Garcia4Luís F. Dias da Silva5Henrique A. Vieira6Faculdade de Física, Universidade Federal do ParáFaculdade de Física, Programa de Pós-Graduação em Física, Universidade Federal do ParáInstituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de LisboaFaculdade de Física, Programa de Pós-Graduação em Física, Universidade Federal do ParáDepartamento de Física Téorica and IPARCOS, Universidad Complutense de MadridInstituto de Astrofísica e Ciências do Espaço, Faculdade de Ciências da Universidade de LisboaFaculdade de Física, Programa de Pós-Graduação em Física, Universidade Federal do ParáAbstract 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.https://doi.org/10.1140/epjc/s10052-025-14299-3 |
| spellingShingle | Ednaldo L. B. Junior José Tarciso S. S. Junior Francisco S. N. Lobo Manuel E. Rodrigues Diego Rubiera-Garcia Luís F. Dias da Silva Henrique A. Vieira Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb–Ramond gravity European Physical Journal C: Particles and Fields |
| title | Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb–Ramond gravity |
| title_full | Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb–Ramond gravity |
| title_fullStr | Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb–Ramond gravity |
| title_full_unstemmed | Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb–Ramond gravity |
| title_short | Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb–Ramond gravity |
| title_sort | periodical orbits and waveforms with spontaneous lorentz symmetry breaking in kalb ramond gravity |
| url | https://doi.org/10.1140/epjc/s10052-025-14299-3 |
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