Singularities in static spherically symmetric configurations of General Relativity with strongly nonlinear scalar fields

Abstract

There are a number of publications on relativistic objects dealing either with black holes or naked singularities in the center. Here we show that there exist static spherically symmetric solutions of Einstein equations with a strongly nonlinear scalar field, which allow the appearance of singularities of a new type (``spherical singularities'') outside the center of curvature coordinates. As the example, we consider a scalar field potential $\sim$$\sinh ({\varphi }^{2n}),n>2$, which grows rapidly for large field values. The space-time is assumed to be asymptotically flat. We fulfill a numerical investigation of solutions with different $n$ for different parameters, which define asymptotic properties at spatial infinity. Depending on the configuration parameters, we show that the distribution of the stable circular orbits of test bodies around the configuration is either similar to that in the case of the Schwarzschild solution (thus mimicking an ordinary black hole), or it contains additional rings of unstable orbits.

References in corpus (38)

• Exact black hole solution with a minimally coupled scalar field
• Circular motion of neutral test particles in Reissner-Nordström spacetime
• Janis-Newman-Winicour and Wyman solutions are the same
• Distinguishing black holes from naked singularities through their accretion disk properties
• Imaging a boson star at the Galactic center
• Circular geodesics and accretion disks in Janis-Newman-Winicour and Gamma metric
• The imitation game: Proca stars that can mimic the Schwarzschild shadow
• Circular geodesics of Bardeen and Ayon-Beato-Garcia regular black-hole and no-horizon spacetimes
• Scalar mesostatic field with regard for gravitational effects
• AGN Obscuration and the Unified Model
• Image of the Janis-Newman-Winicour naked singularity with a thin accretion disk
• Can we distinguish black holes from naked singularities by the images of their accretion disks?
• Equatorial circular orbits of neutral test particles in the Kerr--Newman spacetime
• Models of rotating boson stars and geodesics around them: new type of orbits
• Motion of test particles in the field of a naked singularity
• Distinguishing black holes and wormholes with orbiting hot spots
• Timelike geodesics in Naked Singularity and Black Hole Spacetimes
• Observational signatures of wormholes with thin accretion disks
• Imaging a non-singular rotating black hole at the center of the Galaxy
• Observational signatures of strongly naked singularities: image of the thin accretion disk
• Optical effects related to Keplerian discs orbiting Kehagias-Sfetsos naked singularities
• Circular orbits in Kerr-Taub-NUT spacetime and their implications for accreting black holes and naked singularities
• Circular Orbits Structure and Thin Accretion Disks around Kerr Black Holes with Scalar Hair
• Iron K$\alpha$ line of boson stars
• Ray-tracing in pseudo-complex General Relativity
• Imprints of the Janis-Newman-Winicour spacetime on observations related to shadow and accretion
• Thin accretion discs around spherically symmetric configurations with nonlinear scalar fields
• Accretion disk around the rotating Damour-Solodukhin wormhole
• Geodesic structure of Janis-Newman-Winicour space-time
• Particle motion around a static axially symmetric wormhole
• Distinguishing black holes and naked singularities with iron line spectroscopy
• Distinguishing Brans-Dicke-Kerr type naked singularities and black holes with their thin disk electromagnetic radiation properties
• Static spherically symmetric configurations with N non-linear scalar fields: global and asymptotic properties
• Electromagnetic Fields and Charged Particle Motion Around Magnetized Wormholes
• Generating Rotating Spacetime in Ricci-Based Gravity: Naked Singularity as a Black Hole Mimicker
• Iron K$\alpha$ line of Proca stars
• Spherically symmetric configurations of General Relativity in presence of scalar field: separation of test body circular orbits
• Iron Line Spectroscopy of Black Holes in Vector-Tensor Galileons Modified Gravity

Cited by in corpus (5)

• Probing Geometric Proca in Metric-Palatini Gravity with Black Hole Shadow and Photon Motion
• Spherically symmetric configurations in the quadratic $f(R)$ gravity
• Imaging a semi-classical horizonless compact object with strong redshift
• Some applications of the Shapiro time delay
• Photon surfaces, shadows and accretion disks in gravity with minimally coupled scalar field