Analytical approach to critical scalar field collapse in three dimensions
Gerard Clement, Alessandro Fabbri
TL;DR
This paper develops an analytical model for scalar field collapse in 2+1 dimensions with a negative cosmological constant, identifying self-similar solutions and analyzing perturbations to understand black hole formation.
Contribution
It introduces a one-parameter family of CSS solutions for scalar collapse in 2+1 gravity and analyzes their stability and critical behavior.
Findings
Identified CSS solutions near the singularity.
Determined the critical exponent for black hole formation.
Analyzed linear perturbations leading to collapse.
Abstract
In the quest of the critical solution for scalar field collapse in 2+1 gravity with a negative cosmological constant, we present a one parameter family of solutions with continuous self similar (CSS) behaviour near the central singularity. We also discuss linear perturbations on this background, leading to black hole formation, and determine the critical exponent.
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Taxonomy
TopicsBlack Holes and Theoretical Physics · Cosmology and Gravitation Theories · Quantum Chromodynamics and Particle Interactions