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Phys. Rev. D 68, 124019 (2003) [16 pages]

Constant mean curvature slices in the extended Schwarzschild solution and the collapse of the lapse

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Edward Malec
ESI, A-1090 Wien, Boltzmangasse 9, Austria
Institute of Physics, Jagiellonian University, 30-059 Cracow, Reymonta 4, Poland

Niall Ó Murchadha
ESI, A-1090 Wien, Boltzmangasse 9, Austria
Physics Department, University College, Cork, Ireland

Received 16 July 2003; published 24 December 2003

We give a detailed description of the constant mean curvature foliations in Schwarzschild spacetime, show that the lapse collapses exponentially, and compute the exponent.

© 2003 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.68.124019
DOI:
10.1103/PhysRevD.68.124019
PACS:
04.25.Nx, 95.30.Sf, 97.60.Lf, 98.80.Jk