The Constraints in Spherically Symmetric General Relativity III --- Identifying the Configuration Space: $J\ne 0$

Details The Constraints in Spherically Symmetric General Relativity III --- Identifying the Configuration Space: $J\ne 0$ The Constraints in Spherically Symmetric General Relativity III --- Identifying the Configuration Space: $J\ne 0$

1995-04-24

arxiv.org/abs/gr-qc/9504039v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

44 pages, Plain Tex, 2 figures available from the authors.

Scientific paper

We continue our examination of the constraints in spherically symmetric general relativity begun in I (gr-qc/9411009) and II (gr-qc/9411010). We extend to general configurations with $J\ne 0$ the analysis of II which treated a moment of time symmetry. We exploit the one parameter family of foliations introduced in I which are linear and homogeneous in the extrinsic curvature to characterize apparent horizons and spatial singularities in the initial data. In particular, we demonstrate that these characterizations do not depend sensitively on the foliation.

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