Classification of Kantowski–Sachs metric via conformal Ricci collineations-Reference-Cited by-同舟云学术

Classification of Kantowski–Sachs metric via conformal Ricci collineations

Published:2017-12-19 Issue:01 Volume:15 Page:1850006
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Hussain Tahir¹,Khan Fawad¹,Bokhari Ashfaque H.²,Akhtar Sumaira Saleem¹

Affiliation:

1. Department of Mathematics, University of Peshawar, Khyber Pakhtunkhwa, Pakistan

2. Department of Mathematics and Statistics, King Fahd, University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

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.

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887818500068

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