A Study On Some Geometric and Physical Properties of Hyper-Generalised Quasi-Einstein Spacetime

TL;DR

This paper explores the geometric and physical properties of hyper-generalised quasi-Einstein spacetimes, including pseudosymmetries, Ricci symmetry, and physical applications, and provides a concrete example of such a spacetime.

Contribution

It introduces new geometric and physical theorems for hyper-generalised quasi-Einstein spacetimes and constructs a non-trivial example demonstrating their existence.

Findings

Analysis of various pseudosymmetries in hyper-generalised quasi-Einstein spacetime

Derivation of important geometric and physical theorems for Ricci symmetric cases

Construction of a non-trivial example confirming the existence of such spacetimes

Abstract

In the present paper we discuss about a set of geometric and physical properties of hyper-generalised quasi-Einstein spacetime. At the beginning we discuss about pseudosymmetry over a hyper-generalised quasi-Einstein spacetime. Here we discuss about W2-Ricci pseudosymmetry, Z-Ricci pseudosymmetry, Ricci pseudosymmetry and projective pseudosymmetry over a hyper-generalised quasi-Einstein spacetime. Later on we take over Ricci symmetric hyper-generalised quasi-Einstein spacetime and derive a set of important geometric and physical theorems over it. Moving further we consider some physical applications of the hyper-generalised quasi-Einstein spacetime. Lastly we prove the existence of a hyper-generalised quasi-Einstein spacetime by constructing a non-trivial example.