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.

15 pages

References in corpus (18)

• The Confrontation between General Relativity and Experiment
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• A new method for shadow calculations: application to parameterised axisymmetric black holes
• 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
• Zoom-Whirl Orbits in Black Hole Binaries
• Shadow, quasinormal modes and quasiperiodic oscillations of rotating Kaluza-Klein black holes
• General relativistic effects on the orbit of the S2 star with GRAVITY
• Growth of resonances and chaos for a spinning test particle in the Schwarzschild background
• Periodic orbits around a spherically symmetric naked singularity
• Constraints on the spacetime metric around seven "bare" AGNs using X-ray reflection spectroscopy
• Distinguishing a Kerr-like black hole and a naked singularity in perfect fluid dark matter via precession frequencies
• Slowly rotating black holes in Einsteinian cubic gravity
• Astrophysically relevant bound trajectories around a Kerr black hole
• 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*
• Analytically Approximation Solution to Einstein-Cubic Gravity

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