Higher Dimensional Choptuik Scaling in Painleve Gullstrand Coordinates
General Relativity and Quantum Cosmology
2014-08-13 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.1105.0878,
title = {Higher Dimensional Choptuik Scaling in Painleve Gullstrand Coordinates},
author = {Tim Taves and Gabor Kunstatter},
journal= {arXiv preprint arXiv:1105.0878},
year = {2014}
}
Comments
11 pages, 5 figures