Gravitational radiations from periodic orbits around Einstein-Æther black holes

Abstract

In this work, we investigate the gravitational wave emission from the periodic orbital motion of a test particle around two specific types of black holes in Einstein-Æther theory, a modified gravity that locally breaks Lorentz symmetry while remaining consistent with theoretical and observational constraints through a careful selection of its four coupling constants $c_i$. Focusing on the impact of the æther field, we examine the properties of periodic orbits, which are characterized by a set of three topological integers $(z,w,v)$ that uniquely classify their trajectories. We then calculate the gravitational waveforms generated by these periodic orbits, identifying potential observational signatures. Our analysis reveals a direct connection between the zoom-whirl orbital behavior of the small compact object and the gravitational waveforms it emits: higher zoom numbers lead to increasingly intricate waveform substructures. Moreover, the presence of the æther field introduces significant modifications to these waveforms, imprinting measurable deviations that could be potentially tested or constrained by future space-based gravitational wave detectors.

13 pages, 6 figures. Version published in PDU

References in corpus (24)

• The Confrontation between General Relativity and Experiment
• GWTC-3: Compact Binary Coalescences Observed by LIGO and Virgo During the Second Part of the Third Observing Run
• Optical emission from a kilonova following a gravitational-wave-detected neutron-star merger
• Concepts and status of Chinese space gravitational wave detection projects
• A Periodic Table for Black Hole Orbits
• Detecting fundamental fields with LISA observations of gravitational waves from extreme mass-ratio inspirals
• Zoom-Whirl Orbits in Black Hole Binaries
• Strong field effects on binary systems in Einstein-aether theory
• Periodic orbits around a spherically symmetric naked singularity
• Dynamics of Black Hole Pairs I: Periodic Tables
• Periodic orbits and their gravitational wave radiations in a polymer black hole in loop quantum gravity
• Thin Accretion Disk onto slowly rotating black holes in Einstein-Æther theory
• Astrophysically relevant bound trajectories around a Kerr black hole
• Geodesics and periodic orbits in Kehagias-Sfetsos black holes in deformed Hourava-Lifshitz gravity
• Gravitational waveforms from periodic orbits around a quantum-corrected black hole
• Precession of timelike bound orbits in Kerr spacetime
• Precessing and periodic timelike orbits and their potential applications in Einsteinian cubic gravity
• Timelike bound orbits and pericenter precession around black hole with conformally coupled scalar hair
• 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
• Periodic orbits and their gravitational wave radiations in black hole with dark matter halo
• Odd-parity perturbations of the wormhole-like geometries and quasi-normal modes in Einstein-Æther theory
• Periodic orbits of neutral test particles in Reissner-Nordström naked singularities
• Revisiting linear stability of black hole odd-parity perturbations in Einstein-Aether gravity

Cited by in corpus (6)

• Gravitational Wave Signatures from Periodic Orbits around a non-commutative inspired black hole surrounded by quintessence
• Periodic orbits and their gravitational wave radiations in $\gamma$-metric
• Taxonomy of periodic orbits and gravitational waves in a non-rotating Destounis-Suvorov-Kokkotas black hole spacetime
• Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity
• Equatorial periodic orbits and gravitational wave signatures in Euler-Heisenberg black holes surrounded by perfect fluid dark matter
• Gravitational emissions and light curves of quasi-periodic orbits in Schwarzschild spacetime embedded in a Dehnen-type dark matter halo