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arXiv · 0902.3816

Geometric symmetries on Lorentzian manifolds

K. Saifullah
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Abstract

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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K. Saifullah. 2009-02-22. Geometric symmetries on Lorentzian manifolds. https://doi.org/10.1393/ncb%2Fi2007-10373-y

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