On symmetries of generalized Robertson-Walker Space-times and applications
H. K. El-Sayied, S. Shenawy, N. Syied
TL;DR
This paper investigates various symmetries in generalized Robertson-Walker space-times, including conformal, curvature, and Ricci collineations, and explores Ricci solitons related to these symmetries, providing new insights into their geometric properties.
Contribution
It characterizes multiple symmetry types in generalized Robertson-Walker space-times and examines Ricci solitons with conformal vector fields, advancing understanding of their geometric structure.
Findings
Conditions for existence of symmetries in generalized Robertson-Walker space-times
Characterization of Ricci collineations and conformal vector fields
Analysis of Ricci solitons admitting conformal vector fields
Abstract
The purpose of the present article is to study and characterize sev- eral types of symmetries of generalized Robertson-Walker space-times. Con- formal vector fields, curvature and Ricci collineations are studied. Many im- plications for existence of these symmetries on generalied Robertson-Walker spacetimes are obtained. Finally, Ricci solitons on generalized Robertson- Walker space-times admitting conformal vector fields are investigated.
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