Choptuik scaling and the scale invariance of Einstein's equation

Details Choptuik scaling and the scale invariance of Einstein's equation Choptuik scaling and the scale invariance of Einstein's equation

1996-12-05

arxiv.org/abs/gr-qc/9612015v2

Phys.Rev.D56:3169-3173,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

references added and discussion modified

Scientific paper

10.1103/PhysRevD.56.3169

The relationship of Choptuik scaling to the scale invariance of Einstein's equation is explored. Ordinary dynamical systems often have limit cycles: periodic orbits that are the asymptotic limit of generic solutions. We show how to separate Einstein's equation into the dynamics of the overall scale and the dynamics of the ``scale invariant'' part of the metric. Periodicity of the scale invariant part implies periodic self-similarity of the spacetime. We also analyze a toy model that exhibits many of the features of Choptuik scaling.

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