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Phys. Rev. D 65, 027501 (2001) [2 pages]

Note on flat foliations of spherically symmetric spacetimes

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Viqar Husain
Department of Mathematics and Statistics, University of New Brunswick, Fredericton, New Brunswick, Canada E3B 5A3

Asghar Qadir
Department of Mathematical Sciences, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

Azad A. Siddiqui
E&ME College, National University of Science and Technology, Rawalpindi, Pakistan

Received 3 July 2001; published 26 December 2001

It is known that spherically symmetric spacetimes admit flat spacelike foliations. We point out a simple method of seeing this result via the Hamiltonian contraints of general relativity. The method yields explicit formulas for the extrinsic curvatures of the slicings.

© 2001 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.65.027501
DOI:
10.1103/PhysRevD.65.027501
PACS:
04.20.Jb
 
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