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APS » Journals » Phys. Rev. D » Volume 53 » Issue 6
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Phys. Rev. D 53, 3056–3063 (1996)

Nonlinear wave equations for relativity

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Maurice H. P. M. van Putten*
Center for Radiophysics and Space Research and Cornell Theory Center, Cornell University, Ithaca, New York 14853-6801

Douglas M. Eardley†
Institute for Theoretical Physics, University of California, Santa Barbara, California 93106-4030

Received 15 May 1995; published in the issue dated 15 March 1996

Gravitational wave motion is described by nonlinear wave equations using the tetrad and its connection as field variables. The wave equations result from a Lorentz gauge on the connections. This description separates the physics of wave motion from the causal structure, which is evolved in the tangent space. The initial data constraints are derived in this approach using Yang-Mills scalar and vector potentials, resulting in Lie constraints associated with the additional Poincaré gauge invariance. The analogy of the constraint equations with those in Ashtekar's variables is emphasized.

© 1996 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.53.3056
DOI:
10.1103/PhysRevD.53.3056
PACS:
04.20.Jb, 04.30.Nk, 04.60.Ds

*Electronic address: vanputte@spacenet.tn.cornell.edu

†Electronic address: doug@itp.ucsb.edu

 
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