Killing tensor of five dimensional Melvin's spacetime
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 whi...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Malaysian Institute of Physics
2019
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| Online Access: | http://psasir.upm.edu.my/id/eprint/81168/1/Killing%20tensor.pdf |
| _version_ | 1825951397131059200 |
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| author | Subramaniam, Ganesh Zainuddin, Hishamuddin Mohd Shah, Nurisya |
| author_facet | Subramaniam, Ganesh Zainuddin, Hishamuddin Mohd Shah, Nurisya |
| author_sort | Subramaniam, Ganesh |
| collection | UPM |
| description | 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. |
| first_indexed | 2024-03-06T10:29:24Z |
| format | Article |
| id | upm.eprints-81168 |
| institution | Universiti Putra Malaysia |
| language | English |
| last_indexed | 2024-03-06T10:29:24Z |
| publishDate | 2019 |
| publisher | Malaysian Institute of Physics |
| record_format | dspace |
| spelling | upm.eprints-811682021-09-26T20:33:29Z http://psasir.upm.edu.my/id/eprint/81168/ Killing tensor of five dimensional Melvin's spacetime Subramaniam, Ganesh Zainuddin, Hishamuddin Mohd Shah, Nurisya 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. Malaysian Institute of Physics 2019 Article PeerReviewed text en http://psasir.upm.edu.my/id/eprint/81168/1/Killing%20tensor.pdf 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 https://ifm.org.my/jurnal-fizik-malaysia/killing-tensor-five-dimensional-melvin%E2%80%99s-spacetime |
| spellingShingle | Subramaniam, Ganesh Zainuddin, Hishamuddin Mohd Shah, Nurisya Killing tensor of five dimensional Melvin's spacetime |
| title | Killing tensor of five dimensional Melvin's spacetime |
| title_full | Killing tensor of five dimensional Melvin's spacetime |
| title_fullStr | Killing tensor of five dimensional Melvin's spacetime |
| title_full_unstemmed | Killing tensor of five dimensional Melvin's spacetime |
| title_short | Killing tensor of five dimensional Melvin's spacetime |
| title_sort | killing tensor of five dimensional melvin s spacetime |
| url | http://psasir.upm.edu.my/id/eprint/81168/1/Killing%20tensor.pdf |
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