On Quasi-Einstein Sequential Warped Product Manifolds

TL;DR

This paper investigates the conditions under which sequential warped product manifolds, including specific space-times, are quasi-Einstein or have quasi-constant curvature, expanding understanding of their geometric properties.

Contribution

It provides necessary and sufficient conditions for sequential warped product manifolds and certain space-times to be quasi-Einstein or of quasi-constant curvature.

Findings

Necessary conditions for quasi-Einstein sequential warped products.

Conditions for sequential static space-times to have quasi-constant curvature.

Characterization of generalized Robertson-Walker spaces in this context.

Abstract

We find the necessary conditions for a sequential warped product manifold to be a quasi-Einstein manifold. We also investigate the necessary and sufficient conditions for a sequential standard static space-time and a sequential generalized Robertson-Walker space-time to be a manifold of quasi-constant curvature.