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arXiv · gr-qc/9507054

The Choptuik spacetime as an eigenvalue problem

Carsten Gundlach
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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.

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BibTeXRIS

Carsten Gundlach. 1995-09-13. The Choptuik spacetime as an eigenvalue problem. https://doi.org/10.1103/physrevlett.75.3214

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