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 (12)

• Circular motion of neutral test particles in Reissner-Nordström spacetime
• 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
• Models of rotating boson stars and geodesics around them: new type of orbits
• Distinguishing black holes and wormholes with orbiting hot spots
• 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
• Thin accretion discs around spherically symmetric configurations with nonlinear scalar fields
• Geodesic structure of Janis-Newman-Winicour space-time
• Electromagnetic Fields and Charged Particle Motion Around Magnetized Wormholes
• Generating Rotating Spacetime in Ricci-Based Gravity: Naked Singularity as a Black Hole Mimicker

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