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Killing tensor of five dimensional Melvin's spacetime


Citation

Subramaniam, Ganesh and Zainuddin, Hishamuddin and Mohd Shah, Nurisya (2019) Killing tensor of five dimensional Melvin's spacetime. Jurnal Fizik Malaysia, 40 (1). pp. 10001-10007. ISSN 2590-4191

Abstract

Killing tensors are generalizations of Killing vectors as objects that reflect the symmetries of spacetime. With recent interest in higher-dimensional spacetimes, construction of Killing tensors from lower dimensional ones may be useful. Our focus lies in the (4+1) dimensional Melvin’s spacetime which describes a magnetic universe with a cylindrical symmetry. We constructed the Killing vectors and Killing tensors in 5-dimensional Melvin’s spacetime. The Killing tensors are a linear combination of scalar times a metric and respective symmetric product of Killing vectors similar to those found by Garfinkle and Glass for the 4-dimensional case. It is relatively easy to write down Killing tensors of a particular spacetime admitting both commuting and hypersurface orthogonal Killing vectors.


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Additional Metadata

Item Type: Article
Divisions: Faculty of Science
Institute for Mathematical Research
Publisher: Malaysian Institute of Physics
Keywords: Killing vectors; Killing tensors; Melvin’s spacetime
Depositing User: Mohamad Jefri Mohamed Fauzi
Date Deposited: 26 Sep 2021 20:33
Last Modified: 26 Sep 2021 20:33
URI: http://psasir.upm.edu.my/id/eprint/81168
Statistic Details: View Download Statistic

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