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Phys. Rev. D 52, R5397–R5401 (1995)

S duality at the black hole threshold in gravitational collapse

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

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

James H. Horne
Department of Applied Mathematics and Theoretical Physics, Silver St., Cambridge CB3 9EW, United Kingdom

Received 22 May 1995; published in the issue dated 15 November 1995

We study gravitational collapse of the axion-dilaton field in classical low energy string theory, at the threshold for black hole formation. A new critical solution is derived that is spherically symmetric and continuously self-similar. The universal scaling and echoing behavior discovered by Choptuik in gravitational collapse appears in a somewhat different form. In particular, echoing takes the form of SL(2,R) rotations (cf., S duality). The collapse leaves behind an outgoing pulse of axion-dilaton radiation, with nearly but not exactly flat spacetime within it.

© 1995 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.52.R5397
DOI:
10.1103/PhysRevD.52.R5397
PACS:
04.20.Jb, 04.20.Dw, 11.25.Mj