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arXiv · 2412.00769

Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity

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
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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.

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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. 2024-12-01. Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity. https://doi.org/10.1140/epjc%2Fs10052-025-14299-3

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