Curvature and Weyl collineations of spacetimes

Details Curvature and Weyl collineations of spacetimes Curvature and Weyl collineations of spacetimes

2010-05-09

arxiv.org/abs/1005.1387v1

Proc. 12th Marcel Grossmann Meeting on General Relativity, World Scientific, 2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Scientific paper

Lie symmetries of various geometrical and physical quantities in general relativity play an important role in understanding the curvature structure of manifolds. The Riemann curvature and Weyl tensors are two fourth-rank tensors in the theory. Interrelations between the symmetries of these two tensors (known as collineations) are studied. Some illustrative examples are also provided.

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