Complete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes

Simple item page
dc.creatorPage, Don N.
dc.creatorKubiznak, David
dc.creatorVasudevan, Muraari
dc.creatorKrtous, Pavel
dc.date2006-11-08
dc.date2006-11-13
dc.date.accessioned2026-07-07T10:22:20Z
dc.date.available2026-07-07T10:22:20Z
dc.descriptionWe explicitly exhibit n-1 constants of motion for geodesics in the general D-dimensional Kerr-NUT-AdS rotating black hole spacetime, arising from contractions of even powers of the 2-form obtained by contracting the geodesic velocity with the dual of the contraction of the velocity with the (D-2)-dimensional Killing-Yano tensor. These constants of motion are functionally independent of each other and of the D-n+1 constants of motion that arise from the metric and the D-n = [(D+1)/2] Killing vectors, making a total of D independent constants of motion in all dimensions D. The Poisson brackets of all pairs of these D constants are zero, so geodesic motion in these spacetimes is completely integrable.
dc.description4 pages. We have now found that the geodesic motion is not just integrable, but completely integrable
dc.identifierhttps://arxiv.org/abs/hep-th/0611083
dc.identifierhttp://arxiv.org/abs/hep-th/0611083
dc.identifierPhys.Rev.Lett.98:061102,2007
dc.identifierdoi:10.1103/PhysRevLett.98.061102
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/175479
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleComplete Integrability of Geodesic Motion in General Kerr-NUT-AdS Spacetimes
dc.typetext

Files

Collections

arXiv