English

Curvature and Weyl collineations of spacetimes

General Relativity and Quantum Cosmology 2010-05-11 v1 Mathematical Physics math.MP

Abstract

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.

Keywords

Cite

@article{arxiv.1005.1387,
  title  = {Curvature and Weyl collineations of spacetimes},
  author = {A. R. Kashif and K. Saifullah},
  journal= {arXiv preprint arXiv:1005.1387},
  year   = {2010}
}