The Choptuik spacetime as an eigenvalue problem

Preprint

13 September 1995

preprint
Published by arXiv in arXiv

https://doi.org/10.48550/arXiv.gr-qc/9507054

Abstract

By fine-tuning generic Cauchy data, critical phenomena have recently been discovered in the black hole/no black hole "phase transition" of various gravitating systems. For the spherisymmetric real scalar field system, we find the "critical" spacetime separating the two phases by demanding discrete scale-invariance, analyticity, and an additional reflection-type symmetry. The resulting nonlinear hyperbolic boundary value problem, with the rescaling factor Delta as the eigenvalue, is solved numerically by relaxation. We find Delta = 3.4439 +/- 0.0004.

Keywords

BOUNDARY VALUE PROBLEM
CHOPTUIK SPACETIME
CRITICAL PHENOMENA
EIGENVALUE PROBLEM
PHASE TRANSITION
BLACK HOLE
SPACETIME
DELTA

All Related Versions

Version 1, 1995-07-27, ArXiv
Version 2, 1995-09-13, ArXiv
Published version: Physical Review Letters, 75 (18), 3214.

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