Causal structure and the geodesics in the hairy extension of the Bertotti-Robinson spacetime

Abstract

A hairy extension of the Bertotti-Robinson regular spacetime has been recently introduced in the context of the Einstein-Maxwell-Scaler theory that surprisingly is a singular black hole formed in the $S_3$ background spatial topology [CQG39(2022)167001]. In this research, we first clarify the topology of the spacetime based on the coordinate transformations as well as the energy-momentum configuration and the causal structure of the black hole. Furthermore, we investigate the geodesics of the null and timelike particles in this spacetime. It is shown that in the radial motion on the equatorial plane, while photons may collapse to the singularity or escape to the edge of the universe, a massive particle always collapses to the singularity. The general geodesics of null and massive particles reveal that all particles except the outgoing light ray, eventually fall into the black hole.

19 pages and 12 figures

References in corpus (29)

• Hidden symmetries, null geodesics, and photon capture in the Sen black hole
• Profiles of emission lines generated by rings orbiting braneworld Kerr black holes
• Analytic solutions of the geodesic equation in higher dimensional static spherically symmetric space-times
• Thermodynamics of charged topological dilaton black holes
• Thermodynamics of higher dimensional topological charged AdS black branes in dilaton gravity
• Topological Born-Infeld-dilaton black holes
• Rotating Black Branes in Brans-Dicke-Born-Infeld Theory
• Ricci Solitons and Einstein-Scalar Field Theory
• Thermodynamics of rotating solutions in (n+1)-dimensional Einstein-Maxwell-dilaton gravity
• Thermodynamics of charged rotating black branes in Brans-Dicke theory with quadratic scalar field potential
• Magnetic Strings in Einstein-Born-Infeld-Dilaton Gravity
• Magnetic Branes in $(n+1)$-dimensional Einstein-Maxwell-dilaton gravity
• Horizons vs. singularities in spherically symmetric space-times
• Kinematics of geodesic flows in stringy black hole backgrounds
• Higher dimensional slowly rotating dilaton black holes in AdS spacetime
• Black holes can have curly hair
• Charged rotating dilaton black strings in AdS spaces
• A class of solitons in Maxwell-scalar and Einstein-Maxwell-scalar models
• Kinematics of deformable media
• Slowly Rotating Dilaton Black hole In Anti-de Sitter Spacetime
• Extremal Hairy Black Holes
• Geodesic Motion in a Charged 2D Stringy Blackhole Spacetime
• Scalarized Einstein-Maxwell-scalar Black Holes in a Cavity
• Magnetic dilaton strings in anti-de Sitter spaces
• Black hole in closed spacetime with an anisotropic fluid
• Higgs Scalar-Tensor Theory for Gravity and the Flat Rotation Curves of Spiral Galaxies
• Horizon-less Spherically Symmetric Vacuum-Solutions in a Higgs Scalar-Tensor Theory of Gravity
• Slowly rotating black holes in the Einstein-Maxwell-scalar theory
• Stability of circular geodesics in equatorial plane of Kerr spacetime