Collapse of a Scalar Field in 2+1 Gravity
arXiv:gr-qc/0207121 · doi:10.1088/0264-9381/21/7/006
Abstract
We consider the problem of critical gravitational collapse of a scalar field in 2+1 dimensions with spherical (circular) symmetry. After surveying all the analytic, continuously self-similar solutions and considering their global structure, we examine their perturbations with the intent of understanding which are the critical solutions with a single unstable mode. The critical solution which we find is the one which agrees most closely with that found in numerical evolutions. However, the critical exponent which we find does not seem to agree with the numerical result.
References in corpus (4)
- Critical collapse in 2+1 dimensional AdS spacetime: quasi-CSS solutions and linear perturbations
- Perturbations of an exact solution for 2+1 dimensional critical collapse
- Analytical treatment of critical collapse in 2+1 dimensional AdS spacetime: a toy model
- Rotating cylindrical shell source for Lewis spacetime
Cited by in corpus (37)
- Critical phenomena in gravitational collapse
- Critical phenomena in gravitational collapse (Physics Reports)
- Critical Collapse of Cylindrically Symmetric Scalar Field in Four-Dimensional Einstein's Theory of Gravity
- Cylindrical Systems in General Relativity
- Black holes and stars in Horava-Lifshitz theory with projectability condition
- Singularities in Horava-Lifshitz theory
- Gravitationally Collapsing Shells in (2+1) Dimensions
- Brane Cosmology with Matter in the Bulk. I
- Existence of black holes in Friedmann-Robertson-Walker universe dominated by dark energy
- A new Einstein-nonlinear electrodynamics solution in 2+1-dimensions
- Gravitational Collapse of Self-Similar Perfect Fluid in 2+1 Gravity
- Exact radial solution in 2+1 gravity with a real scalar field
- Critical scalar field collapse in AdS_3: an analytic approach
- Einstein-Rosen waves and the self-similarity hypothesis in cylindrical symmetry
- Approximately self-similar critical collapse in 2+1 dimensions
- Examples of naked singularity formation in higher-dimensional Einstein-vacuum spacetimes
- Self-Similar Collapse of Scalar Field with Plane Symmetry
- Collapsing Scalar Field with Kinematic Self-Similarity of the Second Kind in 2+1 Gravity
- Singularities of plane gravitational waves and their memory effects
- A Rotating, Inhomogeneous Dust Interior for the BTZ Black Hole
- Formation of Three-Dimensional Black Strings from Gravitational Collapse of Dust Cloud
- Gravitational Collapse of Phantom Fluid in (2+1)-Dimensions
- Unveiling horizons in quantum critical collapse
- Black holes from multiplets of scalar fields in 2+1- and 3+1-dimensions
- Spacetime Singularities in String and its Low Dimensional Effective Theory
- Dressing a Naked Singularity: an Example
- Colliding branes and formation of spacetime singularities in string theory
- Perturbed Self-Similar Massless Scalar Field in the Spacetimes with Circular Symmetry in 2+1 Gravity
- Kink Stability of Isothermal Spherical Self-Similar Flow Revisited
- Homothetic Self-Similar Solutions of the Three-Dimensional Brans-Dicke Gravity
- Thin-shell wormholes in 2+1-dimensional Einstein-Scalar Theory
- Critical spacetime crystals in continuous dimensions
- Kink Stability of Self-Similar Solutions of Scalar Field in 2+1 Gravity
- Asymptotics of Solutions of a Perfect Fluid Coupled with a Cosmological Constant in Four-Dimensional Spacetime with Toroidal Symmetry
- Gravitational Collapse of Massless Scalar Field with Negative Cosmological Constant in (2+1) Dimensions
- Gravitational Collapse of a Massless Scalar Field and a Perfect Fluid with Self-Similarity of the First Kind in (2+1) Dimensions
- Perturbed Self-Similar Massless Scalar Field in Spherically Symmetric Spaceimes