Curvature Properties of Gödel metric

Abstract

The main aim of this article is to investigate the geometric structures admitting by the Gödel spacetime which produces a new class of semi-Riemannian manifolds (see Theorem 4.1 and Theorem 4.5). We also consider some extension of Gödel metric (see Example 4.1).

to be published in IJGMMP, 22 pages

References in corpus (4)

• On pseudosymmetric manifolds
• Riemann compatible tensors
• Curvature Properties of Gödel metric
• On Spacetimes with Given Kinematical Invariants: Construction and Examples

Cited by in corpus (9)

• On pseudosymmetric manifolds
• Curvature Properties of Gödel metric
• Curvature properties of some class of warped product manifolds
• On Curvature properties of Nariai Spacetimes
• On warped product manifolds satisfying some pseudosymmetric type conditions
• On the existence of a generalized class of recurrent manifolds
• Relativistic and nonrelativistic Landau levels for the noncommutative quantum Hall effect with anomalous magnetic moment in a conical Gödel-type spacetime
• Dirac fermions in a spinning conical Gödel-type spacetime
• On conformally recurrent manifolds of dimension greater than 4