A general study of regular and singular black hole solutions in Einstein's conformal gravity

Abstract

We study some general properties of two black hole solutions in Einstein's conformal gravity. Both solutions can be obtained from the Kerr metric with a suitable conformal rescaling, which leads, respectively, to a regular and a singular spacetime. In addition to the mass $M$ and the spin angular momentum $J$ of the black hole, these solutions are characterized by a new parameter, $L$, which may be expected to be of the order of the black hole mass. We study the geodesic motion and we calculate the radiative efficiency of a putative accretion disk around these black holes, which allows us to get an estimate of an upper bound on the value of $L$. Lastly, we explore the possibility of "destroying" the event horizon of these black holes. Within our approach, we are not able to destroy the event horizon of the regular black hole solution, while we can in the case of the singular one.

arXiv comment9 pages, 4 figures. v2: refereed version

References in corpus (17)

• Alternatives to Dark Matter and Dark Energy
• Testing black hole candidates with electromagnetic radiation
• Making the Case for Conformal Gravity
• Overcharging a Black Hole and Cosmic Censorship
• Most Supermassive Black Holes must be Rapidly Rotating
• Over-spinning a black hole with a test body
• Destroying extremal Kerr-Newman black holes with test particles
• Spacetime completeness of non-singular black holes in conformal gravity
• Evidence for Rapidly Spinning Black Holes in Quasars
• Test of the weak cosmic censorship conjecture with a charged scalar field and dyonic Kerr-Newman black holes
• Destroying the event horizon of regular black holes
• Testing conformal gravity with astrophysical black holes
• Testing conformal gravity with the supermassive black hole in 1H0707-495
• Black hole shadows in fourth-order conformal Weyl gravity
• Evolution of the spin parameter of accreting compact objects with non-Kerr quadrupole moment
• Spinning super-massive objects in galactic nuclei up to $a_{\ast }>1$
• Kerr Metric, Geodesic Motion, and Flyby Anomaly in Fourth-Order Conformal Gravity

Cited by in corpus (9)

• Gravitational perturbations of non-singular black holes in conformal gravity
• Regular black holes and its thermodynamics in Lovelock gravity
• Conformal Symmetry in Field Theory and in Quantum Gravity
• Singularity-free black holes in conformal gravity: new observational constraints
• Introduction to Quantization of Conformal Gravity
• Exact solution for rotating black holes in parity-violating gravity
• Black Hole singularity avoidance by the Higgs scalar field
• Conformalons: a new class of black hole mimickers
• Acausal exact vacuum solutions in nonlocal gravity