Spherically symmetric configurations of General Relativity in presence of scalar field: separation of test body circular orbits
arXiv:1702.02800 · doi:10.1007/s10714-018-2425-x
Abstract
We study test-body orbits in the gravitational field of a static spherically symmetric object in presence of a minimally coupled nonlinear scalar field. We generated a two-parametric family of scalar field potentials, which allow finding solutions of Einstein's equations in an analytic form. The results are presented by means of hypergeometric functions; they describe either a naked singularity (NS) or a black hole (BH). Our numerical investigation shows that in both cases the stable circular orbits can form separated (non-connected) regions around the configuration. We found existence conditions for such separated regions and present examples for some family parameters in case of NS and BH. The results may be of interest for testing models of the dynamical dark energy.
10 pages, 9 figures
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- Shadow of the Scalar Hairy Black Hole with Inverted Higgs Potential
- Bound orbits near black holes with scalar hair
- Chaotic dynamics of pulsating spheres orbiting black holes