Killing Tensors and Symmetries
General Relativity and Quantum Cosmology
2015-05-18 v2
Abstract
A new method is presented for finding Killing tensors in spacetimes with symmetries. The method is used to find all the Killing tensors of Melvin's magnetic universe and the Schwarzschild vacuum. We show that they are all trivial. The method requires less computation than solving the full Killing tensor equations directly, and it can be used even when the spacetime is not algebraically special.
Keywords
Cite
@article{arxiv.1003.0019,
title = {Killing Tensors and Symmetries},
author = {David Garfinkle and E. N. Glass},
journal= {arXiv preprint arXiv:1003.0019},
year = {2015}
}
Comments
to appear in Class. Quantum Grav (new citation added)