Generalized Painlev\'e-Gullstrand metrics
General Relativity and Quantum Cosmology
2009-02-02 v2 High Energy Physics - Theory
Abstract
An obstruction to the implementation of spatially flat Painleve-Gullstrand(PG) slicings is demonstrated, and explicitly discussed for Reissner-Nordstrom and Schwarzschild-anti-deSitter spacetimes. Generalizations of PG slicings which are not spatially flat but which remain regular at the horizons are introduced. These metrics can be obtained from standard spherically symmetric metrics by physical Lorentz boosts. With these generalized PG metrics, problematic contributions to the imaginary part of the action in the Parikh-Wilczek derivation of Hawking radiation due to the obstruction can be avoided.
Keywords
Cite
@article{arxiv.0810.2161,
title = {Generalized Painlev\'e-Gullstrand metrics},
author = {Chun-Yu Lin and Chopin Soo},
journal= {arXiv preprint arXiv:0810.2161},
year = {2009}
}
Comments
Typos corrected, additional footnotes