Geometric symmetries on Lorentzian manifolds

Details Geometric symmetries on Lorentzian manifolds Geometric symmetries on Lorentzian manifolds

2009-02-22

arxiv.org/abs/0902.3816v1

Nuovo Cim.B122:447,2007

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

16 pages

Scientific paper

10.1393/ncb/i2007-10373-y

Lie derivatives of various geometrical and physical quantities define symmetries and conformal symmetries in general relativity. Thus we obtain motions, collineations, conformal motions and conformal collineations. These symmetries are used not only to find new solutions of Einstein's field equations but to classify the spaces also. Different classification schemes are presented here. Relationships between these symmetries are discussed and illustrating examples are presented.

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