Late time behaviour of the maximal slicing of the Schwarzschild black hole

Details Late time behaviour of the maximal slicing of the Schwarzschild black hole Late time behaviour of the maximal slicing of the Schwarzschild black hole

1997-06-16

arxiv.org/abs/gr-qc/9706046v1

Phys.Rev. D57 (1998) 4728-4737

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, Latex, no figures

Scientific paper

10.1103/PhysRevD.57.4728

A time-symmetric Cauchy slice of the extended Schwarzschild spacetime can be evolved into a foliation of the $r>3m/2$-region of the spacetime by maximal surfaces with the requirement that time runs equally fast at both spatial ends of the manifold. This paper studies the behaviour of these slices in the limit as proper time-at-infinity becomes arbitrarily large and gives an analytic expression for the collapse of the lapse.

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