Generalized Painlevé-Gullstrand metrics

Chun Yu Lin; Chopin Soo

doi:10.1016/j.physletb.2008.12.051

Generalized Painlevé-Gullstrand metrics

Chun Yu Lin, Chopin Soo

Department of Physics

Research output: Contribution to journal › Article › peer-review

19 Citations (Scopus)

Abstract

An obstruction to the implementation of spatially flat Painlevé-Gullstrand (PG) slicings is demonstrated, and explicitly discussed for Reissner-Nordström 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.

Original language	English
Pages (from-to)	493-495
Number of pages	3
Journal	Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics
Volume	671
Issue number	4-5
DOIs	https://doi.org/10.1016/j.physletb.2008.12.051
Publication status	Published - 2009 Feb 2

All Science Journal Classification (ASJC) codes

Nuclear and High Energy Physics

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10.1016/j.physletb.2008.12.051

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title = "Generalized Painlev{\'e}-Gullstrand metrics",

abstract = "An obstruction to the implementation of spatially flat Painlev{\'e}-Gullstrand (PG) slicings is demonstrated, and explicitly discussed for Reissner-Nordstr{\"o}m 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.",

author = "Lin, {Chun Yu} and Chopin Soo",

note = "Funding Information: This work has been supported in part by funds from the National Science Council of Taiwan under Grant No. NSC95-2112-M-006-011-MY3, and by the National Center for Theoretical Sciences, Taiwan.",

year = "2009",

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doi = "10.1016/j.physletb.2008.12.051",

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T1 - Generalized Painlevé-Gullstrand metrics

AU - Lin, Chun Yu

AU - Soo, Chopin

N1 - Funding Information: This work has been supported in part by funds from the National Science Council of Taiwan under Grant No. NSC95-2112-M-006-011-MY3, and by the National Center for Theoretical Sciences, Taiwan.

PY - 2009/2/2

Y1 - 2009/2/2

N2 - An obstruction to the implementation of spatially flat Painlevé-Gullstrand (PG) slicings is demonstrated, and explicitly discussed for Reissner-Nordström 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.

AB - An obstruction to the implementation of spatially flat Painlevé-Gullstrand (PG) slicings is demonstrated, and explicitly discussed for Reissner-Nordström 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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DO - 10.1016/j.physletb.2008.12.051

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VL - 671

SP - 493

EP - 495

JO - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

JF - Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics

SN - 0370-2693

IS - 4-5

ER -

Generalized Painlevé-Gullstrand metrics

Abstract

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