Generalized Painlevé-Gullstrand metrics

Details Generalized Painlevé-Gullstrand metrics Generalized Painlevé-Gullstrand metrics

2008-10-13

arxiv.org/abs/0810.2161v2

Phys.Lett.B671:493-495,2009

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Typos corrected, additional footnotes

Scientific paper

10.1016/j.physletb.2008.12.051

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.

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