Higher Dimensional Choptuik Scaling in Painleve Gullstrand Coordinates

Abstract

We investigate Choptuik scaling in the spherically symmetric collapse of a massless scalar field in higher dimensions using Painleve-Gullstrand (P-G) coordinates. Our analysis confirms the presence in higher dimensions of the cusps in the periodic scaling relationship recently observed in four dimensional collapse. In addition, we address the issue of the asymptotic behaviour of the critical exponent as the number of spacetime dimensions gets large. Our results are consistent with earlier work suggesting that the critical exponent monotonically approaches 1/2 in this limit.

11 pages, 5 figures

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Cited by in corpus (5)

• Critical Collapse in Einstein-Gauss-Bonnet Gravity in Five and Six Dimensions
• Critical behavior in 3-d gravitational collapse of massless scalar fields
• Black Hole Formation in AdS Einstein-Gauss-Bonnet Gravity
• Black Hole Formation in Lovelock Gravity
• Hierarchical formulation of the self-gravitating, n-dimensional, charged scalar field in spherical symmetry in affine null formalism