English

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