Degenerate metric phase boundaries

Details Degenerate metric phase boundaries Degenerate metric phase boundaries

Nov 1997

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1997cqgra..14.3109b&link_type=abstract

Classical and Quantum Gravity, Volume 14, Issue 11, pp. 3109-3121 (1997).

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11

Scientific paper

The structure of boundaries between degenerate and non-degenerate solutions of Ashtekar's canonical reformulation of Einstein's equations is studied. Several examples are given of such `phase boundaries' in which the metric is degenerate on one side of a null hypersurface and non-degenerate on the other side. These include portions of flat space, Schwarzschild and plane-wave solutions joined to degenerate regions. In the last case, the wave collides with a planar phase boundary and continues on with the same curvature but degenerate triad, while the phase boundary continues in the opposite direction. We conjecture that degenerate phase boundaries are always null.

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