Higher Dimensional Choptuik Scaling in Painleve Gullstrand Coordinates

Details Higher Dimensional Choptuik Scaling in Painleve Gullstrand Coordinates Higher Dimensional Choptuik Scaling in Painleve Gullstrand Coordinates

2011-05-04

arxiv.org/abs/1105.0878v2

Phys.Rev.D84:044034,2011

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 5 figures

Scientific paper

10.1103/PhysRevD.84.044034

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.

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