Curvature properties of Melvin magnetic metric

JOURNAL OF GEOMETRY AND PHYSICS

卷:150

Article

Shaikh, Absos Ali¹  Ali, Akram²  Alkhaldi, Ali H.²  Chakraborty, Dhyanesh¹ 

[1] Univ Burdwan, Dept Math, Burdwan 713104, W Bengal, India

[2] King Khalid Univ, Coll Sci, Dept Math, Abha 9004, Saudi Arabia

关键词: Melvin magnetic spacetime;    Einstein-Maxwell field equation;    Weyl conformal curvature tensor;    Pseudosymmetric type curvature condition;    2-quasi-Einstein manifold;   

DOI  :  10.1016/j.geomphys.2019.103593

来源: Elsevier

【 摘 要 】

This paper aims to investigate the curvature restricted geometric properties admitted by Melvin magnetic spacetime metric, a warped product metric with 1-dimensional fibre. For this, we have considered a Melvin type static, cylindrically symmetric spacetime metric in Weyl form and it is found that such metric, in general, is generalized Roter type, Ein(3) and has pseudosymmetric Weyl conformal tensor satisfying the pseudosymmetric type condition R . R - Q(S, R) = L'Q(g, C). The condition for which it satisfies the Roter type condition has been obtained. It is interesting to note that Melvin magnetic metric is pseudosymmetric and pseudosymmetric due to conformal tensor. Moreover such metric is 2-quasi-Einstein, its Ricci tensor is Reimann compatible and Weyl conformal 2-forms are recurrent. The Maxwell tensor is also pseudosymmetric type. (C) 2019 Elsevier B.V. All rights reserved.

【 授权许可】

Free