Horizon-bound objects: Kerr--Vaidya solutions
arXiv:2311.02981 · doi:10.1007/s10714-024-03345-2
Abstract
Kerr-Vaidya metrics are the simplest dynamical axially-symmetric solutions, all of which violate the null energy condition and thus are consistent with the formation of a trapped region in finite time according to distant observers. We examine different classes of Kerr-Vaidya metrics, and find two which possess spherically-symmetric counterparts that are compatible with the finite formation time of a trapped region. These solutions describe evaporating black holes and expanding white holes. We demonstrate a consistent description of accreting black holes based on the ingoing Kerr--Vaidya metric with increasing mass, and show that the model can be extended to cases where the angular momentum to mass ratio varies. For such metrics we describe conditions on their dynamical evolution required to maintain asymptotic flatness. Pathologies are also identified in the evaporating white hole geometry in the form of an intermediate singularity accessible by timelike observers. We also describe a generalization of the equivalence between Rindler and Schwarzschild horizons to Kerr--Vaidya black holes, and describe the relevant geometric constructions.
17 pages, 2 figures. Matches published version. Comments welcome!
References in corpus (31)
- Testing the nature of dark compact objects: a status report
- Thermodynamical Aspects of Gravity: New insights
- Black holes, gravitational waves and fundamental physics: a roadmap
- Foundations of Black Hole Accretion Disk Theory
- Entanglement entropy of black holes
- A Primer for Black Hole Quantum Physics
- Black hole evaporation: A paradigm
- Fate of gravitational collapse in semiclassical gravity
- Energy conditions in general relativity and quantum field theory
- Information loss problem and a `black hole' model with a closed apparent horizon
- Constraints on Binary Black Hole Populations from LIGO-Virgo Detections
- The distinguishing signature of Magnetic Penrose Process
- Gravitational wave production by Hawking radiation from rotating primordial black holes
- The 1.5 Ms Observing Campaign on IRAS 13224-3809: X-ray Spectral Analysis I
- A selection effect boosting the contribution from rapidly spinning black holes to the Cosmic X-ray Background
- Black Hole evaporation: A Perspective from Loop Quantum Gravity
- Foliation dependence of black hole apparent horizons in spherical symmetry
- Role of evaporation in gravitational collapse
- Macroscopic aspects of the Unruh effect
- Energy-momentum tensor and metric near the Schwarzschild sphere
- Mechanical laws of the Rindler horizon
- Regular black holes and the first law of black hole mechanics
- Which black hole is spinning? Probing the origin of black-hole spin with gravitational waves
- Self-consistent description of a spherically-symmetric gravitational collapse
- Kerr-Vaidya black holes
- Paradoxes before the paradox: surface gravity and the information loss problem
- Semiclassical black holes and horizon singularities
- Nomen non est omen: Why it is too soon to identify ultra-compact objects as black holes
- Matter and forces near physical black holes
- Kodama-like Vector Fields in Axisymmetric Spacetimes
- Asymptotic Symmetries of Rindler Space at the Horizon and Null Infinity