Symmetries and geodesics in (anti-)de Sitter spacetimes with nonexpanding impulsive waves

dc.creatorPodolsky, J.
dc.creatorOrtaggio, M.
dc.date2001-05-18
dc.date.accessioned2026-07-07T06:23:26Z
dc.date.available2026-07-07T06:23:26Z
dc.descriptionWe consider a class of exact solutions which represent nonexpanding impulsive waves in backgrounds with nonzero cosmological constant. Using a convenient 5-dimensional formalism it is shown that these spacetimes admit at least three global Killing vector fields. The same geometrical approach enables us to find all geodesics in a simple explicit form and describe the effect of impulsive waves on test particles. Timelike geodesics in the axially-symmetric Hotta-Tanaka spacetime are studied in detail. It is also demonstrated that for vanishing cosmological constant, the symmetries and geodesics reduce to those for well-known impulsive pp-waves.
dc.description16 pages, 3 figures, LaTeX 2e. To appear in Class. Quantum Grav
dc.identifierhttps://arxiv.org/abs/gr-qc/0105065
dc.identifierhttp://arxiv.org/abs/gr-qc/0105065
dc.identifierClass.Quant.Grav. 18 (2001) 2689-2706
dc.identifierdoi:10.1088/0264-9381/18/14/307
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/96233
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleSymmetries and geodesics in (anti-)de Sitter spacetimes with nonexpanding impulsive waves
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