A Note on Particles and Scalar Fields in Higher Dimensional Nutty Spacetimes
arXiv:gr-qc/0511028 · doi:10.1016/j.physletb.2005.10.076
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.
Accepted for Publication in Phys. Lett. B., 11 Pages
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Cited by in corpus (5)
- Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
- `Hidden' Symmetries of Higher Dimensional Rotating Black Holes
- Higher-Dimensional Black Holes: Hidden Symmetries and Separation of Variables
- N-dimensional sl(2)-coalgebra spaces with non-constant curvature
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