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Abstract: An obstruction to the implementation of spatially flatPainleve-GullstrandPG slicings is demonstrated, and explicitly discussed forReissner-Nordstrom and Schwarzschild-anti-deSitter spacetimes. Generalizationsof PG slicings which are not spatially flat but which remain regular at thehorizons are introduced. These metrics can be obtained from standardspherically symmetric metrics by physical Lorentz boosts. With thesegeneralized PG metrics, problematic contributions to the imaginary part of theaction in the Parikh-Wilczek derivation of Hawking radiation due to theobstruction can be avoided.



Author: Chun-Yu Lin, Chopin Soo

Source: https://arxiv.org/







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