Abstract
In this paper, we present a classification of the Kantowski-Sachs spacetime metric according to its conformal Ricci collineations (CRCs). Solving the CRC equations, it is shown that the Kantowski-Sachs metric admits 15-dimensional Lie algebra of CRCs when its Ricci tensor is non-degenerate and an infinite dimensional group of CRCs when the Ricci tensor is degenerate. Some examples of Kantowski-Sachs metric admitting nontrivial CRCs are presented and their physical interpretation is provided.
| Original language | English |
|---|---|
| Article number | 1850006 |
| Journal | International Journal of Geometric Methods in Modern Physics |
| Volume | 15 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1 Jan 2018 |
Bibliographical note
Publisher Copyright:© 2018 World Scientific Publishing Company.
Keywords
- Conformal Ricci collineations
- Kantowski-Sachs spacetimes
- Ricci collineations
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
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