On Weakly Contracted Petrov Symmetric Manifolds

On Weakly Contracted Petrov Symmetric Manifolds

  • Amit Kumar Debnath Maniko Adibasi High School, Hili, West Bengal, India
  • Sarani Chakraborty Sukanta Mahavidyalaya, Dhupguri, Jalpaiguri, India

Abstract

In the domain of general relativity Space-Matter Tensor,
which was introduced by A. Z. Petrov, plays an important role to study
and classify the general gravitational elds. This paper is concerned with
the Contracted Petrov Tensor, which is found by taking contraction of
Space-Matter Tensor. In the sequel, the notion of Weakly Contracted
Petrov Symmetric Manifolds is introduced and studied. Further the existence
of such type of manifolds is proved by citing an example.

Published
2019-04-30
How to Cite
DEBNATH, Amit Kumar; CHAKRABORTY, Sarani. On Weakly Contracted Petrov Symmetric Manifolds. Eurasian Bulletin of Mathematics, [S.l.], v. 2, n. 1, p. 9-20, apr. 2019. Available at: <http://www.ebmmath.com/index.php/EBM/article/view/28>. Date accessed: 23 may 2019.