Distributional energy momentum tensor of the extended Kerr geometry

Details Distributional energy momentum tensor of the extended Kerr geometry Distributional energy momentum tensor of the extended Kerr geometry

1997-02-27

arxiv.org/abs/gr-qc/9702060v1

Class.Quant.Grav. 14 (1997) 3353-3362

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages, latex2e, amslatex and epsf macros

Scientific paper

10.1088/0264-9381/14/12/018

We generalize previous work on the energy-momentum tensor-distribution of the Kerr geometry by extending the manifold structure into the negative mass region. Since the extension of the flat part of the Kerr-Schild decomposition from one sheet to the double cover develops a singularity at the branch surface we have to take its non-smoothness into account. It is however possible to find a geometry within the generalized Kerr-Schild class that is in the Colombeau-sense associated to the maximally analytic Kerr-metric.

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