Generalized Painleve-Gullstrand metrics

摘要

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. Generaliza-tions of PGslicings 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 theParikh-Wilczek derivation of Hawking radiation due to the obstruction can be avoided.