English

Painlev\'{e}-Gullstrand-type coordinates for the five-dimensional Myers-Perry black hole

General Relativity and Quantum Cosmology 2014-01-03 v1

Abstract

The Painleve-Gullstrand coordinates provide a convenient framework for presenting the Schwarzschild geometry because of their flat constant-time hypersurfaces, and the fact that they are free of coordinate singularities outside r=0. Generalizations of Painleve-Gullstrand coordinates suitable for the Kerr geometry have been presented by Doran and Natario. These coordinate systems feature a time coordinate identical to the proper time of zero-angular-momentum observers that are dropped from infinity. Here, the methods of Doran and Natario are extended to the five-dimensional rotating black hole found by Myers and Perry. The result is a new formulation of the Myers-Perry metric. The properties and physical significance of these new coordinates are discussed.

Cite

@article{arxiv.1401.0181,
  title  = {Painlev\'{e}-Gullstrand-type coordinates for the five-dimensional Myers-Perry black hole},
  author = {Tehani K. Finch},
  journal= {arXiv preprint arXiv:1401.0181},
  year   = {2014}
}

Comments

15 pages

R2 v1 2026-06-22T02:37:39.234Z