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On Choptuik's scaling in higher dimensions

Evgeny Sorkin·Yonatan Oren
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Abstract

We extend Choptuik's scaling phenomenon found in general relativistic critical gravitational collapse of a massless scalar field to higher dimensions. We find that in the range 4 <= D <= 11 the behavior is qualitatively similar to that discovered by Choptuik. In each dimension we obtain numerically the universal numbers associated with the critical collapse: the scaling exponent gamma and the echoing period Delta. The behavior of these numbers with increasing dimension seems to indicate that gamma reaches a maximum and Delta a minimum value around 11 <= D <= 13. These results and their relation to the black hole--black string system are discussed.

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Evgeny Sorkin, Yonatan Oren. 2005-06-06. On Choptuik's scaling in higher dimensions. https://doi.org/10.1103/physrevd.71.124005

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