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 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.

16 pages, 10 figures. V2: 18 pages, 10 figures; discussion added. Accepted for publication in EPJC

References in corpus (15)

• Quantum Gravity at a Lifshitz Point
• Signals for Lorentz Violation in Post-Newtonian Gravity
• Generalizations of teleparallel gravity and local Lorentz symmetry
• Degrees of freedom of $f(T)$ gravity
• Nonminimal torsion-matter coupling extension of f(T) gravity
• A Periodic Table for Black Hole Orbits
• Anisotropic Universe Models in f(T) Gravity
• Gravitational radiation reaction and inspiral waveforms in the adiabatic limit
• Towards adiabatic waveforms for inspiral into Kerr black holes: I. A new model of the source for the time domain perturbation equation
• Gravitational waveforms from periodic orbits around a quantum-corrected black hole
• Gravitational lensing of a Schwarzschild-like black hole in Kalb-Ramond gravity
• Periodic orbits and gravitational wave radiation in short hair black hole spacetimes for an extreme mass ratio system
• Periodic orbits and their gravitational wave radiations around the Schwarzschild-MOG black hole
• Bound Orbits and Gravitational Wave Radiation Around the Hairy Black Hole
• Energies and angular momenta of periodic Schwarzschild geodesics

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