Stationary axisymmetric solutions of five dimensional gravity

Simple item page
dc.creatorGiusto, Stefano
dc.creatorSaxena, Ashish
dc.date2007-05-30
dc.date2007-06-13
dc.date.accessioned2026-07-07T10:35:59Z
dc.date.available2026-07-07T10:35:59Z
dc.descriptionWe consider stationary axisymmetric solutions of general relativity that asymptote to five dimensional Minkowski space. It is known that this system has a hidden SL(3,R) symmetry. We identify an SO(2,1) subgroup of this symmetry group that preserves the asymptotic boundary conditions. We show that the action of this subgroup on a static solution generates a one-parameter family of stationary solutions carrying angular momentum. We conjecture that by repeated applications of this procedure one can generate all stationary axisymmetric solutions starting from static ones. As an example, we derive the Myers-Perry black hole starting from the Schwarzschild solution in five dimensions.
dc.description31 pages, LaTeX; references added
dc.identifierhttps://arxiv.org/abs/0705.4484
dc.identifierhttp://arxiv.org/abs/0705.4484
dc.identifierClass.Quant.Grav.24:4269-4294,2007
dc.identifierdoi:10.1088/0264-9381/24/17/002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/179905
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleStationary axisymmetric solutions of five dimensional gravity
dc.typetext

Files

Collections

arXiv