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Title: Pseudo-Z symmetric space-times

In this paper, we investigate Pseudo-Z symmetric space-time manifolds. First, we deal with elementary properties showing that the associated form A{sub k} is closed: in the case the Ricci tensor results to be Weyl compatible. This notion was recently introduced by one of the present authors. The consequences of the Weyl compatibility on the magnetic part of the Weyl tensor are pointed out. This determines the Petrov types of such space times. Finally, we investigate some interesting properties of (PZS){sub 4} space-time; in particular, we take into consideration perfect fluid and scalar field space-time, and interesting properties are pointed out, including the Petrov classification. In the case of scalar field space-time, it is shown that the scalar field satisfies a generalized eikonal equation. Further, it is shown that the integral curves of the gradient field are geodesics. A classical method to find a general integral is presented.
Authors:
 [1] ;  [2]
  1. Physics Department, Università degli Studi di Milano, Via Celoria 16, 20133 Milano (Italy)
  2. Department of Mathematics, Kyungpook National University, Taegu 702-701 (Korea, Republic of)
Publication Date:
OSTI Identifier:
22250767
Resource Type:
Journal Article
Resource Relation:
Journal Name: Journal of Mathematical Physics; Journal Volume: 55; Journal Issue: 4; Other Information: (c) 2014 AIP Publishing LLC; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; EIKONAL APPROXIMATION; EQUATIONS; IDEAL FLOW; INTEGRALS; RICCI TENSOR; SCALAR FIELDS; SPACE-TIME; SYMMETRY