A classification of conformally flat generalized Ricci recurrent pseudo-Riemannian manifolds

Document Type

Article

Publication Date

2-1-2022

Abstract

Conformally flat pseudo-Riemannian manifolds with generalized Ricci recurrent, (GR)(n) structure are completely classified in this short report. A conformally flat generalized Ricci recurrent pseudo-Riemannian manifold is shown to be an Einstein manifold. In particular, a conformally flat generalized Ricci recurrent spacetime must be either a de Sitter spacetime or an anti-de Sitter spacetime.

Keywords

Generalized Ricci recurrent manifolds, Conformally flat manifolds, De Sitter spacetimes, Anti-de Sitter spacetimes

Divisions

MathematicalSciences

Funders

FRGS/1/2019/STG06/UM/02/6

Publication Title

International Journal Of Geometric Methods In Modern Physics

Volume

19

Issue

02

Publisher

World Scientific Publ Co Pte Ltd

Publisher Location

5 TOH TUCK LINK, SINGAPORE 596224, SINGAPORE

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