Separability of the Hamilton-Jacobi and Klein-Gordon Equations in Kerr-de Sitter Metrics
arXiv:gr-qc/0405125 · doi:10.1088/0264-9381/22/2/007
Abstract
We study separability of the Hamilton-Jacobi and massive Klein-Gordon equations in the general Kerr-de Sitter spacetime in all dimensions. Complete separation of both equations is carried out in 2n+1 spacetime dimensions with all n rotation parameters equal, in which case the rotational symmetry group is enlarged from (U(1))^n to U(n). We explicitly construct the additional Killing vectors associated with the enlarged symmetry group which permit separation. We also derive first-order equations of motion for particles in these backgrounds and examine some of their properties.
17 pages, LaTeX2e. Corrected minor misprints
References in corpus (11)
- A Large Mass Hierarchy from a Small Extra Dimension
- The Large N Limit of Superconformal Field Theories and Supergravity
- The Hierarchy Problem and New Dimensions at a Millimeter
- New Dimensions at a Millimeter to a Fermi and Superstrings at a TeV
- The General Kerr-de Sitter Metrics in All Dimensions
- Rotating Black Holes in Higher Dimensions with a Cosmological Constant
- Solitonic Strings and BPS Saturated Dyonic Black Holes
- Black hole and brane production in TeV gravity: A review
- Particle and light motion in a space-time of a five-dimensional rotating black hole
- Quantum Radiation from a 5-Dimensional Rotating Black Hole
- Solitonic D-branes and brane annihilation
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