Bound orbits near scalar field naked singularities

Abstract

We study bound orbits near the centres of static, spherically symmetric, asymptotically flat configurations of a self-gravitating scalar field minimally coupled to gravity. In our approach, a nonlinear scalar field is considered as an idealized model of dark matter, and the main examples that we have in mind are the centres of galaxies. We consider both scalar field black holes (SFBHs) and scalar field naked singularities (SFNSs). It turns out that the shape and parameters of a bound orbit depend crucially on the type of configuration. The lapse metric function of a SFNS and, consequently, the effective potential of a massive test particle with zero angular momentum have a global minimum. A SFNS has a static degenerated orbit on which a test particle, having zero angular momentum and the minimum of its energy, remains at rest at all times. This implies that there exists a spherical shell consisting of cold gas or dust, which for a distant observer can look like the shadow of a black hole. We also study the shape of noncircular bound orbits close to the centres of SFNSs and show that their angles of precession are negative.

9 pages, 6 figures

References in corpus (40)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Detection of the gravitational redshift in the orbit of the star S2 near the Galactic centre massive black hole
• An Update on Monitoring Stellar Orbits in the Galactic Center
• Shadows of spherically symmetric black holes and naked singularities
• Testing General Relativity with stellar orbits around the supermassive black hole in our Galactic center
• Galactic Halos As Boson Stars
• The Shortest Known Period Star Orbiting our Galaxy's Supermassive Black Hole
• Circular motion of neutral test particles in Reissner-Nordström spacetime
• BlackHoleCam: fundamental physics of the Galactic center
• Distinguishing black holes from naked singularities through their accretion disk properties
• Astrophysical signatures of boson stars: quasinormal modes and inspiral resonances
• Flat Central Density Profile and Constant DM Surface Density in Galaxies from Scalar Field Dark Matter
• 230 GHz VLBI observations of M87: event-horizon-scale structure at the enhanced very-high-energy $\gamma$-ray state in 2012
• Persistent Asymmetric Structure of Sagittarius A* on Event Horizon Scales
• Distinguishing black holes and wormholes with orbiting hot spots
• General relativistic effects on the orbit of the S2 star with GRAVITY
• Constraints on $R^n$ gravity from precession of orbits of S2-like stars
• Test-particle dynamics in general spherically symmetric black hole spacetimes
• Periodic orbits around a spherically symmetric naked singularity
• Phenomenology of Self-Interacting Dark Matter in a Matter-Dominated Universe
• Circular geodesics of naked singularities in the Kehagias-Sfetsos metric of Hořava's gravity
• Constraints on tidal charge of the supermassive black hole at the Galactic Center with trajectories of bright stars
• Exact Black-Hole Solution With Self-Interacting Scalar Field
• Mass Quadrupole as a Source of Naked Singularities
• Interacting Diffusive Unified Dark Energy and Dark Matter from Scalar Fields
• Comparing timelike geodesics around a Kerr black hole and a boson star
• Scalar Deformations of Schwarzschild Holes and Their Stability
• Spherically symmetric scalar vacuum: no-go theorems, black holes and solitons
• Geodesic motion around traversable wormholes supported by a massless conformally-coupled scalar field
• On the nature of dark matter
• Exact solutions with AdS asymptotics of Einstein and Einstein-Maxwell gravity minimally coupled to a scalar field
• Static Orbits in Rotating Spacetimes
• Weighing of the Dark Matter at the Center of the Galaxy
• Geodesic structure of Janis-Newman-Winicour space-time
• On the trajectories of null and timelike geodesics in different wormhole geometries
• Sine-Gordon solitonic scalar stars and black holes
• Spherically symmetric configurations of General Relativity in presence of scalar field: separation of test body circular orbits
• Selection criteria for two-parameter solutions to scalar-tensor gravity
• Charged black holes and unusual wormholes in scalar-tensor gravity
• Topological geons with self-gravitating phantom scalar field

Cited by in corpus (12)

• Can we distinguish black holes from naked singularities by the images of their accretion disks?
• Timelike geodesics in Naked Singularity and Black Hole Spacetimes
• Shadows and negative precession in non-Kerr spacetime
• Shadow of nulllike and timelike naked singularities without photon spheres
• Investigating effects of dark matter on photon orbits and black hole shadows
• Shadows and precession of orbits in rotating Janis-Newman-Winicour spacetime
• Perihelion Precession and Shadows near Blackholes and Naked Singularities
• Precession and Lense-Thirring effect of hairy Kerr spacetimes
• Energy extraction from Janis-Newman-Winicour naked singularity
• Null and Timelike Geodesics Near the Throats of Phantom Scalar Field Wormholes
• Retrograde Precession of Relativistic Orbits and the Quest for Charged Black Holes
• Tidal Disruption of Stars by Supermassive Black Holes and Naked Singularities with Scalar Hair