Spacelike Ricci Inheritance Vectors in a Model of String Cloud and String Fluid Stress Tensor

TL;DR

This paper investigates the conditions under which spacetime models with string clouds and fluids admit spacelike Ricci inheritance vectors and conformal Killing vectors, providing theoretical criteria in general relativity.

Contribution

It derives necessary and sufficient conditions for the existence of spacelike Ricci inheritance vectors and conformal Killing vectors in string cloud and string fluid models.

Findings

Conditions for SpRIV existence are established.

Conditions for SpRIV also being a SpCKV are derived.

Some specific results related to these vectors are obtained.

Abstract

We study the consequences of the existence of spacelike Ricci inheritance vectors (SpRIVs) parallel to $x^a$ for model of string cloud and string fluid stress tensor in the context of general relativity. Necessary and sufficient conditions are derived for a spacetime with a model of string cloud and string fluid stress tensor to admit a SpRIV and a SpRIV which is also a spacelike conformal Killing vector (SpCKV). Also, some results are obtained.