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Covariant double-null dynamics: (2+2)-splitting of the Einstein equations

Brady, P. R. and Droz, S. and Israel, W. and Morsink, S. M. (1996) Covariant double-null dynamics: (2+2)-splitting of the Einstein equations. Classical and Quantum Gravity, 13 (8). pp. 2211-2230. ISSN 0264-9381. doi:10.1088/0264-9381/13/8/015.

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We develop a (2 + 2)-imbedding formalism adapted to a double foliation of spacetime by a net of two intersecting families of lightlike hypersurfaces. The intersections define a set of 2-spaces with hypersurface-orthogonal lightlike normals. The formalism is two-dimensionally covariant, and leads to simple, geometrically transparent and tractable expressions for the Einstein field equations and the Einstein - Hilbert action, and it should find a variety of applications. It is applied here to elucidate the structure of the characteristic initial-value problem of general relativity.

Item Type:Article
Related URLs:
Brady, P. R.0000-0002-4611-9387
Morsink, S. M.0000-0003-4357-0575
Additional Information:© 1996 IOP Publishing Ltd. Received 31 October 1995, in final form 29 April 1996. PRB is grateful to Werner Israel for his kind hospitality during visits to the University of Alberta. This work was supported by the Canadian Institute for Advanced Research and by NSERC of Canada. PRB was also supported by EPSRC of Great Britain.
Funding AgencyGrant Number
Canadian Institute for Advanced Research (CIAR)UNSPECIFIED
Natural Sciences and Engineering Research Council of Canada (NSERC)UNSPECIFIED
Engineering and Physical Sciences Research Council (EPSRC)UNSPECIFIED
Issue or Number:8
Classification Code:PACS: 04.20.Ex; 02.40.-k. MSC: 83C05
Record Number:CaltechAUTHORS:20120126-133607351
Persistent URL:
Official Citation:Covariant double-null dynamics: 2 + 2-splitting of the Einstein equations P R Brady et al 1996 Class. Quantum Grav. 13 2211
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:28985
Deposited By: Tony Diaz
Deposited On:14 Mar 2012 23:48
Last Modified:12 Jul 2022 19:51

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