The eye of the storm: A regular Kerr black hole

Abstract

We present a highly tractable non-singular modification of the Kerr geometry, dubbed the "eye of the storm" -- a rotating regular black hole with an asymptotically Minkowski core. This is achieved by "exponentially suppressing" the mass parameter in the Kerr spacetime: $m\to m{e}^{-\ell /r}$. The single parameter $\ell$ quantifies the deviation from the usual Kerr spacetime. Some of the classical energy conditions are globally satisfied, whilst certain choices for $\ell$ force any energy-condition-violating physics into the deep core. The geometry possesses the full "Killing tower'" of principal tensor, Killing--Yano tensor, and nontrivial Killing tensor, with associated Carter constant; hence the Hamilton--Jacobi equations are separable, and the geodesics integrable. The Klein--Gordon equation is also separable on this candidate spacetime. The tightly controlled deviation from Kerr renders the physics extraordinarily tractable when compared with analogous results in the current literature. This spacetime will be amenable to straightforward extraction of astrophysical observables falsifiable/ verifiable by the experimental community.

V1: 27 pages, 71 references. V2: Now 28 pages, 83 references; some discourse added with relevant citations, small physics changes with inclusion of Maxwell separability

References in corpus (28)

• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• First M87 Event Horizon Telescope Results. III. Data Processing and Calibration
• Rotating regular black holes
• Construction of Regular Black Holes in General Relativity
• Rotating Regular Black Hole Solution
• Gravitational Lensing by Rotating Wormholes
• Energy conditions in the epoch of galaxy formation
• A novel family of rotating black hole mimickers
• Testing loop quantum gravity from observational consequences of non-singular rotating black holes
• Gravitational lensing by a regular black hole
• Charged black-bounce spacetimes
• When is g_{tt} g_{rr} = -1?
• Astrophysical Wormholes
• Testing Rotating Regular Metrics as Candidates for Astrophysical Black Holes
• Vaidya spacetimes, black-bounces, and traversable wormholes
• Wormholes without exotic matter: quasinormal modes, echoes and shadows
• Rotating regular black holes in conformal massive gravity
• From a locality-principle for new physics to image features of regular spinning black holes with disks
• Superradiance in Kerr-like black holes
• Geodesically complete black holes in Lorentz-violating gravity
• Killing tensor and Carter constant for Painleve-Gullstrand form of Lense-Thirring spacetime
• Hawking-Ellis classification of stress-energy: test-fields versus back-reaction
• Generalized Rainich conditions, generalized stress-energy conditions, and the Hawking-Ellis classification
• Darboux diagonalization of the spatial 3-metric in Kerr spacetime

Cited by in corpus (10)

• Horizon-scale tests of gravity theories and fundamental physics from the Event Horizon Telescope image of Sagittarius A${}^{\ast }$
• Are nonsingular black holes with super-Planckian hair ruled out by S2 star data?
• The shadow of regular black holes with asymptotically Minkowski core
• Penrose's 1965 singularity theorem: From geodesic incompleteness to cosmic censorship
• Regular black holes, universes without singularities, and phantom-scalar field transitions
• Quantum gravity lights up spinning black holes
• Evaporation of a Kerr-black-bounce by emission of scalar particles
• Regular Rotating Black Holes: A Review
• Scalar Perturbation Around Rotating Regular Black Hole: Superradiance Instability and Quasinormal Modes
• Multi-ring images of thin accretion disk of a regular naked compact object