Geodesic incompleteness of some popular regular black holes
arXiv:2208.02557 · doi:10.1103/PhysRevD.107.044016
Abstract
Throughout the study of the geodesics of some popular spherically symmetric regular black holes, we hereby prove that the analytically extended Hayward black hole is geodetically incomplete. The simplest extension of the Culetu-Simpson-Visser's non-analytic smooth black hole is also geodetically incomplete, with the exception of the antipodal continuation of the radial geodesics. However, the huge ambiguity in the extension of non analytic spacetimes is tantamount of geodesic incompleteness and such spacetimes do not solve the singularity issue unless at least all the extensions turn out to be complete. Hence, we provide several mere modifications of such spacetimes in order to make them geodetically complete in all possible extensions beyond r=0.
New version widely extended in accordance with the correct and stimulating suggestions of the referee. This version is conform to the one published on PRD. 8 pages, 9 figures
References in corpus (6)
Cited by in corpus (29)
- Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A
- Regular black holes: A short topic review
- Quasinormal modes-shadow correspondence for rotating regular black holes
- Quantum rotating black holes
- Primordial regular black holes as all the dark matter. II. Non-time-radial-symmetric and loop quantum gravity-inspired metrics
- Primordial regular black holes as all the dark matter. I. Time-radial-symmetric metrics
- Anisotropic Generalized Polytropic Spheres: Regular 3D Black Holes
- Newman-Janis algorithm's application to regular black hole models
- New black-to-white hole solutions with improved geometry and energy conditions
- Toward General-Relativistic Magnetohydrodynamics Simulations in Stationary Non-Vacuum Spacetimes
- Regular Black Holes and Horizonless Ultra-Compact Objects in Lorentz-Violating Gravity
- Importance of being nonminimally coupled: Scalar Hawking radiation from regular black holes
- Regular BTZ black holes from an infinite tower of corrections
- Novel regular black holes: geometry, source and shadow
- Singularity resolution and inflation from an infinite tower of regularized curvature corrections
- Topological regular black holes without Cauchy horizon
- A regular black hole as the final state of evolution of a singular black hole
- Primordial regular black holes as all the dark matter. III. Covariant canonical quantum gravity models
- Master field equations for spherically symmetric gravitational fields beyond general relativity
- Self-Gravitating Matter in Stationary and Axisymmetric Black Hole Spacetimes
- Note on black holes with kilometer-scale ultraviolet regulators
- What happens to topological invariants (and black holes) in singularity-free theories?
- Singularity and differentiability at the origin of static and spherically symmetric black holes
- Geodesic structure of a noncommutative black hole
- Singularity avoidance from path integral
- Acausal exact vacuum solutions in nonlocal gravity
- On the logarithmic Love number of black holes beyond general relativity
- GEMS embeddings of Hayward regular black holes in massless and massive gravities
- Observational distinguishability of the Kerr and Kerr-Hayward metrics to EHT