Spacetimes with different forms of energy-momentum tensor

JOURNAL OF GEOMETRY AND PHYSICS

卷:151

Article

Mallick, Sahanous¹  De, Uday Chand²  Suh, Young Jin^3,4 

[1] Chakdaha Coll, Dept Math, PO Chakdaha, Chakdaha, W Bengal, India

[2] Univ Calcutta, Dept Pure Math, 35 Ballygunge Circular Rd, Kolkata 700019, W Bengal, India

[3] Kyungpook Natl Univ, Dept Math, Taegu 702701, South Korea

[4] Kyungpook Natl Univ, RIRCM, Taegu 702701, South Korea

关键词: Perfect fluid spacetime;    Einstein's field equation;    Energy-momentum tensor;    Codazzi type tensor;   

DOI  :  10.1016/j.geomphys.2020.103622

来源: Elsevier

【 摘 要 】

The object of the present paper is to characterize spacetimes with different types of energy-momentum tensor. At first we consider spacetimes with pseudo symmetric energy-momentum tensor T. We obtain a necessary and sufficient condition for a spacetime with pseudo symmetric energy-momentum tensor to be a pseudo Ricci symmetric spacetime. Next we consider the spacetimes with Codazzi type of energy-momentum tensor and several interesting results are pointed out. Moreover, some results related to perfect fluid spacetimes with different forms of energy-momentum tensors have been obtained. We study spacetimes with quadratic Killing energy-momentum tensor T and show that a GRW spacetime with quadratic Killing energy-momentum tensor is an Einstein space. Finally, we have considered general relativistic spacetimes with semisymmetric energy-momentum tensor and obtained some important results. (C) 2020 Published by Elsevier B.V.

【 授权许可】

Free