Gravitational radiations from periodic orbits around a black hole in the effective field theory extension of general relativity
arXiv:2512.11911 · doi:10.1140/epjc/s10052-026-15466-w
Abstract
The study of periodic orbits in extreme-mass-ratio inspirals is essential for understanding the dynamics of small bodies orbiting supermassive black holes. In this paper, we study the periodic orbits and their corresponding gravitational wave emissions within the framework of an effective field theory-based extension of general relativity (EFTGR), which incorporates higher-order curvature terms into the Einstein-Hilbert action. We start with a brief analysis of the modified black hole spacetime in EFTGR and examine how its parameters influence the dynamics of a massive neutral particle using the Lagrangian formalism. Focusing on the impact of the higher-order curvature terms in EFTGR, we examine the properties of periodic orbits, which are characterized by three topological integers that uniquely classify their trajectories. By analyzing these orbits within EFTGR, we aim to provide new insights into how strong-field deviations from general relativity may manifest in observable phenomena. 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. The results contribute to a clearer understanding of the dynamical features of EFTGR and open new avenues for probing black hole properties via gravitational wave detection.
13 pages, 8 figures. Version published in EPJC
References in corpus (43)
- The Confrontation between General Relativity and Experiment
- Intermediate and Extreme Mass-Ratio Inspirals -- Astrophysics, Science Applications and Detection using LISA
- Concepts and status of Chinese space gravitational wave detection projects
- Singularity Theorems and Their Consequences
- A Periodic Table for Black Hole Orbits
- Gravitational radiation reaction and inspiral waveforms in the adiabatic limit
- Detecting fundamental fields with LISA observations of gravitational waves from extreme mass-ratio inspirals
- Towards adiabatic waveforms for inspiral into Kerr black holes: I. A new model of the source for the time domain perturbation equation
- Zoom-Whirl Orbits in Black Hole Binaries
- Gravitational ringing of rotating black holes in higher-derivative gravity
- Black-hole ringdown as a probe of higher-curvature gravity theories
- Black Hole Gravitational Waves in the Effective Field Theory of Gravity
- Causality Constraints on Gravitational Effective Field Theories
- 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
- Gravitational axial perturbations of Schwarzschild-like black holes in dark matter halos
- 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
- Imprints of dark matter on gravitational ringing of supermassive black holes
- Black Hole Multipoles in Higher-Derivative Gravity
- Exploring waveforms with non-GR deviations for extreme mass-ratio inspirals
- Prospects of detecting deviations to Kerr geometry with radiation reaction effects in EMRIs
- 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
- Periodical orbits and waveforms with spontaneous Lorentz symmetry-breaking in Kalb-Ramond gravity
- Periodic orbits and gravitational waveforms in quantum-corrected black hole spacetimes
- Bound Orbits and Gravitational Wave Radiation Around the Hairy Black Hole
- Odd-parity perturbations of the wormhole-like geometries and quasi-normal modes in Einstein-Æther theory
- Equatorial periodic orbits and gravitational waveforms in a black hole free of Cauchy horizon
- Gravitational wave standard sirens: A brief review of cosmological parameter estimation
- Gravitational radiations from periodic orbits around Einstein-Æther black holes
- Periodic orbits of neutral test particles in Reissner-Nordström naked singularities
- Gravitational wave radiation from periodic orbits and quasi-periodic oscillations in Einstein non-linear Maxwell-Yukawa black hole
- Generic EFT-motivated beyond General Relativity gravitational wave tests and their curvature dependence: from observation to interpretation
- Pseudospectrum and time-domain analysis of the EFT corrected black holes
- Gravitational Wave Signatures from Periodic Orbits around a non-commutative inspired black hole surrounded by quintessence
- Gravitational Waves on Charged Black Hole Backgrounds in Modified Gravity
- Imprints of extra dimensions in eccentric extreme-mass-ratio inspirals gravitational waveforms