Geodesics and periodic orbits in Kehagias-Sfetsos black holes in deformed Hourava-Lifshitz gravity

Abstract

The motion of a massive test particle around a Kehagias-Sfetsos black hole in deformed Hourava-Lifshitz gravity is studied. Employing the effective potential, the marginally bound orbits and the innermost stable circular orbits are analyzed. For the marginally bound orbits, their radius and angular momentum decrease with the parameter $\omega$ of the gravity. For the innermost stable circular orbits, the energy and angular momentum also decrease with $\omega$. Based on these results, we investigate the periodic orbits in the Kehagias-Sfetsos black holes. It is found that the apsidal angle parameter increases with the particle energy, while decreases with the angular momentum. Moreover, compared to the Schwarzschild black hole, the periodic orbits in Kehagias-Sfetsos black holes always have lower energy. These results provide us a possible way to distinguish the Kehagias-Sfetsos black hole in deformed Hourava-Lifshitz gravity from the Schwarzschild black hole.

12 pages, 8 figures, and 2 tables, accepted by PRD

References in corpus (10)

• Quantum Gravity at a Lifshitz Point
• Spectral Dimension of the Universe in Quantum Gravity at a Lifshitz Point
• Membranes at Quantum Criticality
• Estimating the final spin of a binary black hole coalescence
• A Periodic Table for Black Hole Orbits
• Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole
• Towards constraining of the Horava-Lifshitz gravities
• Particle Motion around Black Hole in Horava-Lifshitz Gravity
• Periodic orbits around a spherically symmetric naked singularity
• Dynamics of Black Hole Pairs I: Periodic Tables

Cited by in corpus (20)

• Shadows and rings of the Kehagias-Sfetsos black hole surrounded by thin disk accretion
• Orbital mechanics and quasiperiodic oscillation resonances of black holes in Einstein-Æther theory
• Periodic orbits and their gravitational wave radiations in a polymer black hole in loop quantum gravity
• On null geodesics and shadow of hairy black holes in Einstein-Maxwell-dilaton gravity
• Gravitational waveforms from periodic orbits around a quantum-corrected black hole
• Motion of spinning particles around black hole in a dark matter halo
• Null geodesics and shadow of 4$D$ Einstein-Gauss-Bonnet black holes surrounded by quintessence
• 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 in black hole with dark matter halo
• Periodic orbits and gravitational waveforms in quantum-corrected black hole spacetimes
• Equatorial periodic orbits and gravitational waveforms in a black hole free of Cauchy horizon
• Gravitational radiations from periodic orbits around Einstein-Æther black holes
• 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
• Types of the geodesic motions in Kerr-Sen-AdS${}_4$ spacetime
• 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
• Periodic orbits and gravitational waveforms of black holes in bumblebee gravity
• 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