Killing tensor of five dimensional Melvin's spacetime

• Main Authors: Subramaniam, Ganesh, Zainuddin, Hishamuddin, Mohd Shah, Nurisya
• Format: Article
• Language: English
• Published: Malaysian Institute of Physics 2019
• Online Access: http://psasir.upm.edu.my/id/eprint/81168/1/Killing%20tensor.pdf; http://psasir.upm.edu.my/id/eprint/81168/; https://ifm.org.my/jurnal-fizik-malaysia/killing-tensor-five-dimensional-melvin%E2%80%99s-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 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.