Proper Weyl Collineations in Kantowski-Sachs and Bianchi Type III Space-Times
Ghulam Shabbir
TL;DR
This paper investigates the existence of proper Weyl collineations in Kantowski-Sachs and Bianchi type III space-times using matrix rank analysis and direct integration, concluding that such collineations do not exist in these models.
Contribution
It provides a detailed analysis showing the non-existence of proper Weyl collineations in these specific cosmological space-times.
Findings
No proper Weyl collineations exist in Kantowski-Sachs space-times.
No proper Weyl collineations exist in Bianchi type III space-times.
The study employs the rank of the Weyl matrix and direct integration techniques.
Abstract
A study of proper Weyl collineations in Kantowski-Sachs and Bianchi type III space-times is given by using the rank of the 6X6 Weyl matrix and direct integration techniques. Studying proper Weyl collineations in each of the above space-times, it is shown that there exists no such possibility when the above space-times admit proper Weyl collineations.
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