Integrability of Some Charged Rotating Supergravity Black Hole Solutions in Four and Five Dimensions
arXiv:gr-qc/0507092 · doi:10.1016/j.physletb.2005.08.026
Abstract
We study the integrability of geodesic flow in the background of some recently discovered charged rotating solutions of supergravity in four and five dimensions. Specifically, we work with the gauged multicharge Taub-NUT-Kerr-(Anti) de Sitter metric in four dimensions, and the gauged charged-Kerr-(Anti) de Sitter black hole solution of N = 2 supergravity in five dimensions. We explicitly construct the Killing tensors that permit separation of the Hamilton-Jacobi equation in these spacetimes. These results prove integrability for a large class of previously known supergravity solutions, including several BPS solitonic states. We also derive first-order equations of motion for particles in these backgrounds and examine some of their properties. Finally, we also examine the Klein-Gordon equation for a scalar field in these spacetimes and demonstrate separability.
17 Pages, updated bibliography, accepted for publication by Physics Letters B
References in corpus (13)
- Rotating Black Holes in Higher Dimensions with a Cosmological Constant
- Charged Rotating Black Holes in Four-Dimensional Gauged and Ungauged Supergravities
- The geodesic structure of the Schwarzschild Anti-de Sitter black hole
- Charged Rotating Black Holes in Five Dimensional U(1)^3 Gauged N=2 Supergravity
- Separability and Killing Tensors in Kerr-Taub-NUT-de Sitter Metrics in Higher Dimensions
- Separability of the Hamilton-Jacobi and Klein-Gordon Equations in Kerr-de Sitter Metrics
- Beyond the veil: Inner horizon instability and holography
- Particle Motion and Scalar Field Propagation in Myers-Perry Black Hole Spacetimes in All Dimensions
- Integrability and the Kerr-(A)dS black hole in five dimensions
- Integrability of Particle Motion and Scalar Field Propagation in Kerr-(Anti) de Sitter Black Hole Spacetimes in All Dimensions
- On Charged Black Holes in Anti-de Sitter Space
- Notes on non-extremal, charged, rotating black holes in minimal D=5 gauged supergravity
- Extracting Data from Behind Horizons with the AdS/CFT Correspondence
Cited by in corpus (12)
- Geodesic equation in Schwarzschild--(anti-)de Sitter space--times: Analytical solutions and applications
- Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
- Complete analytic solution of the geodesic equation in Schwarzschild--(anti) de Sitter space--times
- Special symmetries of the charged Kerr-AdS black hole of D=5 minimal gauged supergravity
- Symmetries of supergravity black holes
- Integrability of Particle Motion and Scalar Field Propagation in Kerr-(Anti) de Sitter Black Hole Spacetimes in All Dimensions
- Killing tensors and photon surfaces in foliated spacetimes
- Two-charge rotating black holes in four-dimensional gauged supergravity
- Symmetry operators and separability of massive Klein-Gordon and Dirac equations in the general 5-dimensional Kerr-(anti-)de Sitter black hole background
- Slice-reducible conformal Killing tensors, photon surfaces and shadows
- A Note on Particles and Scalar Fields in Higher Dimensional Nutty Spacetimes
- Kerr-Schild transformation of the Benenti-Francaviglia metric