Institute for Mathematical Physics Degenerate Metric Phase Boundaries Degenerate Metric Phase Boundaries
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چکیده
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 at 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.
منابع مشابه
Degenerate Metric Phase Boundaries
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...
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تاریخ انتشار 2009