Critical Exponents and Stability at the Black Hole Threshold for a Complex Scalar Field
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 ≈ 0.387106. We also show that this critical solution is unstable via a growing oscillatory mode.
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