Periodic equatorial orbits in a black bounce scenario

Abstract

We study equatorial closed orbits in a popular black bounce model to see if the internal structure of these objects could lead to peculiar observable features. Paralleling the analysis of the Schwarzschild and Kerr metrics, we show that in the black bounce case each orbit can also be associated with a triplet of integers which can then be used to construct a rational number characterizing each periodic orbit. When the black bounce solution represents a traversable wormhole, we show that the previous classification scheme is still applicable with minor adaptations. We confirm in this way that this established framework enables a complete description of the equatorial dynamics across a spectrum of cases, from regular black holes to wormholes. Varying the black bounce parameter $r_{min}$, we compare the trajectories in the Simpson-Visser model with those in the Schwarzschild metric (and the rotating case with Kerr). We find that in some cases even small increments in $r_{min}$ can lead to significant changes in the orbits.

26 pages, 22 figures

References in corpus (36)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Formation and evaporation of non-singular black holes
• Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole
• Detection of the Schwarzschild precession in the orbit of the star S2 near the Galactic centre massive black hole
• Prospects for Fundamental Physics with LISA
• Generating rotating regular black hole solutions without complexification
• Black-bounce to traversable wormhole
• Wormholes as Black Hole Foils
• Echoes of Kerr-like wormholes
• Novel black-bounce spacetimes: wormholes, regularity, energy conditions, and causal structure
• A Periodic Table for Black Hole Orbits
• Phenomenological aspects of black holes beyond general relativity
• Information loss problem and a `black hole' model with a closed apparent horizon
• Regular black holes: A short topic review
• Geodesically complete black holes
• A novel family of rotating black hole mimickers
• From static to rotating to conformal static solutions: Rotating imperfect fluid wormholes with(out) electric or magnetic field
• The imitation game: Proca stars that can mimic the Schwarzschild shadow
• Charged black-bounce spacetimes
• Imaging compact boson stars with hot-spots and thin accretion disks
• Opening the Pandora's box at the core of black holes
• Janis-Newman algorithm: generating rotating and NUT charged black holes
• Spherical Boson Stars as Black Hole mimickers
• Dynamics of Black Hole Pairs I: Periodic Tables
• Energy Level Diagrams for Black Hole Orbits
• Epicyclic Oscillations around Simpson-Visser Regular Black Holes and Wormholes
• Dynamics of Black Hole Pairs II: Spherical Orbits and the Homoclinic Limit of Zoom-Whirliness
• Bound orbits of a slowly evolving black hole
• Boson stars in Palatini $f(\mathcal{R})$ gravity
• Testing gravity with Extreme-Mass-Ratio Inspirals
• Spherically symmetric and static black bounces with multiple horizons, throats, and anti-throats in four dimensions
• Orbits around a black bounce spacetime
• Traversable Wormholes, Regular Black Holes, and Black-Bounces

Cited by in corpus (4)

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• Strong field gravitational lensing of particles by a black-bounce-Schwarzschild black hole