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Phys. Rev. D 52, 5850–5856 (1995)

Critical exponents and stability at the black hole threshold for a complex scalar field

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Eric W. Hirschmann
Department of Physics, University of California, Santa Barbara, California 93106-9530

Douglas M. Eardley
Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030

Received 30 June 1995; published in the issue dated 15 November 1995

This paper continues a study on Choptuik scaling in gravitational collapse of a massless 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≊0.387 111±0.000 003. We also show that this critical solution is unstable via a growing oscillatory mode.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.52.5850
DOI:
10.1103/PhysRevD.52.5850
PACS:
04.70.Bw, 04.60.Kz