Fine-Structure of Choptuik's Mass-Scaling Relation

Details Fine-Structure of Choptuik's Mass-Scaling Relation Fine-Structure of Choptuik's Mass-Scaling Relation

1996-06-29

arxiv.org/abs/gr-qc/9606087v2

Phys.Rev.D55:440-442,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

9 pages and 3 figures, submitted to Physical Review Letters Complete PS file is available at ftp://shemesh.fiz.huji.ac.il or a

Scientific paper

10.1103/PhysRevD.55.440

We conjecture (analytically) and demonstrate (numerically) the existence of a fine-structure above the power-law behavior of the mass of black-holes that form in gravitational collapse of spherical massless scalar field. The fine-structure is a periodic function of the critical-separation $(p-p^*)$. We predict that the period $\varpi$ is {\it universal} and that it depends on the previous universal parameters, the critical exponent, $\beta$, and the echoing period $\Delta$ as $\varpi = \Delta /\beta$.

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