The rotating black hole interior: Insights from gravitational collapse in $Ad{S}_3$ spacetime

Abstract

We present results from a numerical study of rotating black hole formation in 3-dimensional asymptotically anti-de Sitter (AdS) spacetime, focusing on the structure of the black hole interior. While black holes in $Ad{S}_3$ are of theoretical interest for a wide variety of reasons, we choose to study this system primarily as a toy model for astrophysical (4-dimensional) black holes formed from gravitational collapse. We investigate the effect of angular momentum on the geometry inside the event horizon, and see qualitative changes in the interior structure as a function of the spin parameter. For low spins, we find that a central spacelike curvature singularity forms, connecting to a singular, null Cauchy horizon. For spins above a threshold consistent with the linear analysis of Dias, Reall and Santos, curvature on the Cauchy horizon remains bounded, signaling a violation of the strong cosmic censorship conjecture. Further increasing the spin leads to a decrease in the relative size of the spacelike branch of the singularity, which vanishes completely above a second threshold. In these high-spin cases, the interior evolution is bounded by a regular Cauchy horizon, which extends all the way inward to a regular, timelike origin. We further explore the geodesic focusing ("gravitational shock-wave") effect predicted to occur along the outgoing branch of the inner horizon, first described by Marolf and Ori. Remarkably, we observe the effect at late times in all of the black holes we form, even those in which the inner apparent horizon collapses to zero radius early in their evolution.

arXiv comment17 pages, 13 figures; updated to match published version (PRD)

References in corpus (27)

• Observation of Gravitational Waves from a Binary Black Hole Merger
• The Black Hole in Three Dimensional Space Time
• Geometry of the 2+1 Black Hole
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• The (2+1)-Dimensional Black Hole
• Black hole singularities: a numerical approach
• Numerical Approaches to Spacetime Singularities
• Black holes without spacelike singularities
• Numerical simulations of generic singuarities
• Black Holes and Wormholes in 2+1 Dimensions
• Mass-Inflation in Dynamical Gravitational Collapse of a Charged Scalar-Field
• Gravitational collapse in 2+1 dimensional AdS spacetime
• No Black Hole Theorem in Three-Dimensional Gravity
• Exact Results for the BTZ Black Hole
• Scalar field collapse in three-dimensional AdS spacetime
• Outgoing gravitational shock-wave at the inner horizon: The late-time limit of black hole interiors
• The BTZ black hole violates strong cosmic censorship
• The Inner Structure of Black Holes
• Critical Collapse of a Complex Scalar Field with Angular Momentum
• Black holes and branes in string theory
• Holography of the BTZ Black Hole, Inside and Out
• Scalar field critical collapse in 2+1 dimensions
• Numerical evolution of shocks in the interior of Kerr black holes
• Numerical study of the gravitational shock wave inside a spherical charged black hole
• Critical collapse of a rotating scalar field in $2+1$ dimensions
• How extreme are extreme black holes?
• Gravitational shock wave inside a steadily-accreting spherical charged black hole

Cited by in corpus (5)

• The Harder They Fall, the Bigger They Become: Tidal Trapping of Strings by Microstate Geometries
• Scalar perturbations of black holes in Jackiw-Teitelboim gravity
• Steady States of Holographic Interfaces
• Strong Cosmic Censorship and Eigenvalue Repulsions for rotating de Sitter black holes in higher-dimensions
• Mass inflation and strong cosmic censorship in a non-extreme BTZ black hole