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Phys. Rev. Lett. 76, 4667–4670 (1996)

First-Order Symmetric Hyperbolic Einstein Equations with Arbitrary Fixed Gauge

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Simonetta Frittelli
Department of Physics and Astronomy, University of Pittsburgh, Pittsburgh, Pennsylvania 15260

Oscar A. Reula
FAMAF, Universidad Nacional de Córdoba, 5000 Córdoba, Argentina

Received 26 January 1996; published in the issue dated 17 June 1996

We find a one-parameter family of variables which recast the 3+1 Einstein equations into first-order symmetric hyperbolic form for any fixed choice of gauge. Hyperbolicity considerations lead us to a redefinition of the lapse in terms of an arbitrary factor times a power of the determinant of the 3-metric; under certain assumptions, the exponent can be chosen arbitrarily, but positive, with no implication of gauge fixing.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevLett.76.4667
DOI:
10.1103/PhysRevLett.76.4667
PACS:
04.20.Ex