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Critical Exponents and Stability at the Black Hole Threshold for a Complex Scalar Field

Eric W. Hirschmann·Douglas M. Eardley
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Abstract

This paper continues a study on Choptuik scaling in gravitational collapse of a complex scalar field at the threshold for black hole formation. We perform a linear perturbation analysis of the previously derived complex critical solution, and calculate the critical exponent for black hole mass, $γ\approx 0.387106$. We also show that this critical solution is unstable via a growing oscillatory mode.

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Eric W. Hirschmann, Douglas M. Eardley. 1995-08-21. Critical Exponents and Stability at the Black Hole Threshold for a Complex Scalar Field. https://doi.org/10.1103/physrevd.52.5850

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