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

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

1995-06-29

arxiv.org/abs/gr-qc/9506078v3

Phys.Rev. D52 (1995) 5850-5856

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages of latex/revtex; added details of numerics, in press in Phys Rev D; 1 figure included, or available by anonymous ftp

Scientific paper

10.1103/PhysRevD.52.5850

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, $\gamma \approx 0.387106$. We also show that this critical solution is unstable via a growing oscillatory mode.

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