Constant mean curvature slices in the extended Schwarzschild solution and collapse of the lapse: Part I
arXiv:gr-qc/0307046 · doi:10.1103/PhysRevD.68.124019
Abstract
We give a detailed description of the constant mean curvature foliations in the Schwarzschild solution; show that the lapse collapses exponentially, and compute the exponent.
References in corpus (5)
- Late time behaviour of the maximal slicing of the Schwarzschild black hole
- Optical scalars in spherical spacetimes
- Constant Crunch Coordinates for Black Hole Simulations
- The constant mean curvature slices of asymptotically flat spherical spacetimes
- The Constraints in Spherically Symmetric General Relativity I --- Optical Scalars, Foliations, Bounds on the Configuration Space Variables and the Positivity of the Quasi-Local Mass
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