Covariant double-null dynamics: $(2+2)$-splitting of the Einstein equations
General Relativity and Quantum Cosmology
2009-10-28 v1 High Energy Physics - Theory
Abstract
The paper develops a -imbedding formalism adapted to a double foliation of spacetime by a net of two intersecting families of lightlike hypersurfaces. 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.
Cite
@article{arxiv.gr-qc/9510040,
title = {Covariant double-null dynamics: $(2+2)$-splitting of the Einstein equations},
author = {P. R. Brady and S. Droz and W. Israel and S. M. Morsink},
journal= {arXiv preprint arXiv:gr-qc/9510040},
year = {2009}
}
Comments
22 pages, latex, one figure in a separate file