R. Bartnik et G. Fodor, ON THE RESTRICTED VALIDITY OF THE THIN SANDWICH CONJECTURE, Physical review. D. Particles and fields, 48(8), 1993, pp. 3596-3599
We prove that the thin sandwich conjecture in general relativity is va
lid, provided that the data (g(ab),g(ab)) satisfy certain geometric co
nditions. These conditions define an open set in the class of possible
data, but are not generically satisfied. The implications for the ''s
uperspace'' picture of the Einstein evolution equations are discussed.