Segre decomposition of spacetimes

Details Segre decomposition of spacetimes Segre decomposition of spacetimes

1999-02-11

arxiv.org/abs/gr-qc/9902035v1

Class.Quant.Grav. 16 (1999) 1185-1196

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, provisionally scheduled for April 1999 in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/16/4/008

Following a recent work in which it is shown that a spacetime admitting Lie-group actions may be disjointly decomposed into a a closed subset with no interior plus a dense finite union of open sets in each of which the character and dimension of the group orbits as well as the Petrov type are constant, the aim of this work is to include the Segre types of the Ricci tensor (and hence of the Einstein tensor) into the decomposition. We also show how this type of decomposition can be carried out for any type of property of the spacetime depending on the existence of a continuous endomorphism.

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