Paul T Allen et al 2008 Class. Quantum Grav. 25 075009 doi:10.1088/0264-9381/25/7/075009
Paul T Allen1, Adam Clausen2 and James Isenberg3
Show affiliationsWe show that sets of conformal data on closed manifolds with the metric in the positive or zero Yamabe class, and with the gradient of the mean curvature function sufficiently small, are mapped to solutions of the vacuum Einstein constraint equations. This result extends previous work which required the conformal metric to be in the negative Yamabe class, and required the mean curvature function to be nonzero.
04.20.Ex Initial value problem, existence and uniqueness of solutions
58D17 Manifolds of metrics (esp. Riemannian)
83C05 Einstein's equations (general structure, canonical formalism, Cauchy problems)
Issue 7 (7 April 2008)
Received 3 October 2007, in final form 12 February 2008
Published 18 March 2008
Paul T Allen et al 2008 Class. Quantum Grav. 25 075009
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