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APS » Journals » Phys. Rev. D » Volume 48 » Issue 8
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Phys. Rev. D 48, 3596–3599 (1993)

On the restricted validity of the thin sandwich conjecture

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Robert Bartnik
Department of Mathematics, Statistics and Computing Science, University of New England, Armidale, New South Wales 2351, Australia

Gyula Fodor*
Centre for Mathematics and its Applications, Australian National University, Canberra, Australian Capital Territory 2601, Australia

Received 8 June 1993; published in the issue dated 15 October 1993

We prove that the thin sandwich conjecture in general relativity is valid, provided that the data (gab, ġab) satisfy certain geometric conditions. These conditions define an open set in the class of possible data, but are not generically satisfied. The implications for the "superspace" picture of the Einstein evolution equations are discussed.

© 1993 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.48.3596
DOI:
10.1103/PhysRevD.48.3596
PACS:
04.20.Cv

*Present address: Central Research Institute for Physics, Research Institute for Particle and Nuclear Physics, H-1525 Budapest 114, P.O. Box 49, Hungary.

 
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