On symmetries of generalized Robertson-Walker spacetimes and applications. Issue 1 (2nd January 2017)

• Record Type: Journal Article
• Authors: El-Sayied, H.K.; Shenawy, Sameh; Syied, Noha
• Is Part Of: Journal of dynamical systems and geometric theories. Volume 15:Issue 1(2017)
• Page Start: 51
• Page End: 69
• Publication Date: 2017-01-02
• Subjects: 53C21 -- 53C25 -- 53C50; Conformal vector fields -- concircular vector fields -- collineations -- Robertson-Walker spacetimes -- Ricci soliton; Differentiable dynamical systems -- Periodicals; Geometry -- Periodicals; Differentiable dynamical systems; Geometry; Periodicals; 515.39
• DOI: 10.1080/1726037X.2017.1323418
• Languages: English
• ISSNs: 1726-037X

Abstract

ABSTRACT: The purpose of the present article is to study and characterize several types of symmetries of generalized Robertson-Walker spacetimes. Conformal vector fields, curvature and Ricci collineations are studied. Many implications for existence of these symmetries on generalized Robertson-Walker spacetimes are obtained. Finally, Ricci solitons on generalized Robertson-Walker spacetimes admitting conformal vector fields are investigated.