First-order symmetric-hyperbolic Einstein equations with arbitrary fixed gauge

Details First-order symmetric-hyperbolic Einstein equations with arbitrary fixed gauge First-order symmetric-hyperbolic Einstein equations with arbitrary fixed gauge

1996-05-01

arxiv.org/abs/gr-qc/9605005v1

Phys.Rev.Lett. 76 (1996) 4667-4670

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages; Latex with Revtex v3.0 macro package and style; to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.76.4667

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.

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