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Phys. Rev. D 74, 104023 (2006) [4 pages]

Modifying the Einstein equations off the constraint hypersurface

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J. David Brown and Lisa L. Lowe
Department of Physics, North Carolina State University, Raleigh, North Carolina 27695, USA

Received 6 June 2006; published 20 November 2006

A new technique is presented for modifying the Einstein evolution equations off the constraint hypersurface. With this approach the evolution equations for the constraints can be specified freely. The equations of motion for the gravitational field variables are modified by the addition of terms that are linear and nonlocal in the constraints. These terms are obtained from solutions of the linearized Einstein constraints.

© 2006 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.74.104023
DOI:
10.1103/PhysRevD.74.104023
PACS:
04.25.Dm