Degenerate Metric Phase Boundaries

Details Degenerate Metric Phase Boundaries Degenerate Metric Phase Boundaries

1997-06-10

arxiv.org/abs/gr-qc/9706027v2

Class.Quant.Grav. 14 (1997) 3109-3121; Erratum-ibid. 15 (1998) 3941-3942

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages, 2 figures; erratum included in separate file: errors in section 4, degenerate phase boundary is null without imposin

Scientific paper

10.1088/0264-9381/15/12/022

The structure of boundaries between degenerate and nondegenerate 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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