Degenerate Solution Evolved from Non-degenerate Initial Data in Ashtekar’s Formalism

The possibility of evolving a partial degenerate solution from non-degenerate initial data in Ashtekar formalism is considered in a constructed example.It is found that this possibility could be realized in the time evolution given by Ashtekar's equations on a 3-dimensional manifold with topology R^(1)×S^(2).

A NEW PLANE-SYMMETRIC SOLUTION OF EINSTEIN-MAXWELL EQUATIONS

We present a new solution(g_(ab),F_(ab))of Einstein-Maxwell equations,where g_(ab) is plane-symmetric while F_(ab) is not fully plane-symmetric.