A Note on Particles and Scalar Fields in Higher Dimensional Nutty Spacetimes
General Relativity and Quantum Cosmology
2007-05-23 v1 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this note, we study the integrability of geodesic flow in the background of a very general class of spacetimes with NUT-charge(s) in higher dimensions. This broad set encompasses multiply NUT-charged solutions, electrically and magnetically charged solutions, solutions with a cosmological constant, and time dependant bubble-like solutions. We also derive first-order equations of motion for particles in these backgrounds. Separability turns out to be possible due to the existence of non-trivial irreducible Killing tensors. Finally, we also examine the Klein-Gordon equation for a scalar field in these spacetimes and demonstrate complete separability.
Cite
@article{arxiv.gr-qc/0511028,
title = {A Note on Particles and Scalar Fields in Higher Dimensional Nutty Spacetimes},
author = {Muraari Vasudevan},
journal= {arXiv preprint arXiv:gr-qc/0511028},
year = {2007}
}
Comments
Accepted for Publication in Phys. Lett. B., 11 Pages