Matter Collineations of Some Well Known Spacetimes
M. Sharif (Hanyang University)
TL;DR
This paper derives matter collineations for various well-known spacetimes, revealing their similarity to Ricci collineations and providing new cosmological models with perfect fluid dust solutions.
Contribution
It introduces the derivation of matter collineations for Bianchi types I, II, III, VIII, IX, and Kantowski-Sachs spacetimes, and presents new cosmological models.
Findings
Matter collineations are similar to Ricci collineations with different constraints.
Solved constraint equations for a specific case, yielding three cosmological models.
Obtained perfect fluid dust solutions in the form of new cosmological models.
Abstract
We derive matter collineations of the Bianchi types I, II, III, VIII and IX, and Kantowski-Sachs spacetimes. It is found that matter collineations turn out similar to Ricci collineations with different constranit equations. We solve the constraint equation for a particular case and obtain three cosmological models which represent perfect fluid dust solutions.
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Taxonomy
TopicsCosmology and Gravitation Theories · Relativity and Gravitational Theory · Advanced Differential Geometry Research