Generalized Painlevé-Gullstrand metrics
arXiv:0810.2161 · doi:10.1016/j.physletb.2008.12.051
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.
Typos corrected, additional footnotes
References in corpus (10)
- Hawking Radiation as Tunneling
- Radiation via Tunneling from a de Sitter Cosmological Horizon
- Hawking Radiation from AdS Black Holes
- New Coordinates for de Sitter Space and de Sitter Radiation
- Regular coordinate systems for Schwarzschild and other spherical spacetimes
- The river model of black holes
- Flat slice Hamiltonian formalism for dynamical black holes
- Flat foliations of spherically symmetric geometries
- Uniqueness of Flat Spherically Symmetric Spacelike Hypersurfaces Admitted by Spherically Symmetric Static Spactimes
- Note on flat foliations of spherically symmetric spacetimes
Cited by in corpus (13)
- New Cosmological Solutions in Massive Gravity
- Painlevé-Gullstrand synchronizations in spherical symmetry
- Intrinsic Time Quantum Geometrodynamics
- Black Hole Formation in AdS Einstein-Gauss-Bonnet Gravity
- Generalized Painleve-Gullstrand descriptions of Kerr-Newman black holes
- Maximal slicings in spherical symmetry: local existence and construction
- Quantum geometrodynamics with intrinsic time development
- A point mass and continuous collapse to a point mass in general relativity
- New form of the Kerr-Newman solution
- GEMS embeddings of Schwarzschild and RN black holes in Painlevé-Gullstrand spacetimes
- Spherical Spacelike Geometries in Static Spherically Symmetric Spacetimes: Generalized Painlevè-Gullstrand Coordinates, Foliation, and Embedding
- Novikov Coordinates and the Physical Description of Gravitational Collapse
- The Interior MOTSs of Spherically Symmetric Black Holes