Precessing and periodic timelike orbits and their potential applications in Einsteinian cubic gravity

Abstract

Einsteinian cubic gravity (ECG) is the most general theory up to cubic order in curvature, which have the same graviton spectrum as the Einstein theory. In this paper, we investigate the geodesic motions of timelike particles around the four dimensional asymptotically flat black holes in ECG, and discuss their potential applications when connecting them with recent observational results. We first explore the effects of the cubic couplings on the marginally bound orbits (MBO), innermost stable circular orbits (ISCO) and on the periodic orbits around the Einsteinian cubic black hole. We find that comparing to Schwarzschild black hole in general relativity, the cubic coupling enhances the energy as well as the angular momentum for all the bound orbits of the particles. Then, we derive the relativistic periastron precessions of the particles and give a preliminary bound on the cubic coupling employing the observational result of the S2 star' precession in SgrA*. Finally, after calculating the periodic orbits' configurations, we preliminarily evaluate the gravitational waveform radiated from several periodic orbits in one complete period of a test object which orbits a supermassive Einsteinian cubic black hole. Our studies could be helpful for us to better understand the gravitational structure of the theory with high curvatures.

arXiv comment15 pages

References in corpus (43)

• The Confrontation between General Relativity and Experiment
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• The Galactic Center Massive Black Hole and Nuclear Star Cluster
• Gravitational Radiation Reaction to a Particle Motion
• A new method for shadow calculations: application to parameterised axisymmetric black holes
• "Kludge" gravitational waveforms for a test-body orbiting a Kerr black hole
• Testing General Relativity with stellar orbits around the supermassive black hole in our Galactic center
• New parametrization for spherically symmetric black holes in metric theories of gravity
• A Periodic Table for Black Hole Orbits
• Detecting fundamental fields with LISA observations of gravitational waves from extreme mass-ratio inspirals
• Quasinormal modes, quasiperiodic oscillations and shadow of rotating regular black holes in non-minimally coupled Einstein-Yang-Mills theory
• Confronting the models of 3:2 quasiperiodic oscillations with the rapid spin of the microquasar GRS 1915+105
• Zoom-Whirl Orbits in Black Hole Binaries
• Shadows, Signals, and Stability in Einsteinian Cubic Gravity
• Shadow, quasinormal modes and quasiperiodic oscillations of rotating Kaluza-Klein black holes
• Perturbed stellar motions around the rotating black hole in Sgr A* for a generic orientation of its spin axis
• On black holes in higher-derivative gravities
• General relativistic effects on the orbit of the S2 star with GRAVITY
• Holographic studies of Einsteinian cubic gravity
• Strong Gravity Effects of Rotating Black Holes: Quasiperiodic Oscillations
• Growth of resonances and chaos for a spinning test particle in the Schwarzschild background
• Orbital mechanics and quasiperiodic oscillation resonances of black holes in Einstein-Æther theory
• Periodic orbits around a spherically symmetric naked singularity
• Orbital precession of the S2 star in Scalar-Tensor-Vector-Gravity
• Constraints on the spacetime metric around seven "bare" AGNs using X-ray reflection spectroscopy
• Rational Orbits around Charged Black Holes
• Distinguishing a Kerr-like black hole and a naked singularity in perfect fluid dark matter via precession frequencies
• Energy Level Diagrams for Black Hole Orbits
• General classification of charged test particle circular orbits in Reissner--Nordström spacetime
• Universal black hole stability in four dimensions
• Slowly rotating black holes in Einsteinian cubic gravity
• Astrophysically relevant bound trajectories around a Kerr black hole
• A note on the dynamical features for the extended $f(P)$ cubic gravity
• Scattering Amplitudes, Black Holes and Leading Singularities in Cubic Theories of Gravity
• Rotating Black Holes in Cubic Gravity
• Precession of timelike bound orbits in Kerr spacetime
• Constraints on self-dual black hole in loop quantum gravity with S0-2 star in the Galactic Center
• Bounding the mass of ultralight bosonic Dark Matter particles with the motion of the S2 star around Sgr A*
• Charged black holes in Einsteinian cubic gravity and nonuniqueness
• Traversable wormholes in Einsteinian cubic gravity
• Global asymptotic dynamics of Cosmological Einsteinian Cubic Gravity
• Analytically Approximation Solution to Einstein-Cubic Gravity
• Topological Born-Infeld charged black holes in Einsteinian cubic gravity

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