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Fine-Structure of Choptuik's Mass-Scaling Relation

Shahar Hod·Tsvi Piran
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Abstract

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, $β$, and the echoing period $Δ$ as $\varpi = Δ/β$.

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Shahar Hod, Tsvi Piran. 1996-07-04. Fine-Structure of Choptuik's Mass-Scaling Relation. https://doi.org/10.1103/physrevd.55.440

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