Time-Dependent Multi-Centre Solutions from New Metrics with Holonomy Sim(n-2)

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dc.creatorGibbons, G. W.
dc.creatorPope, C. N.
dc.date2007-09-15
dc.date2008-02-15
dc.date.accessioned2026-07-07T11:37:13Z
dc.date.available2026-07-07T11:37:13Z
dc.descriptionThe classifications of holonomy groups in Lorentzian and in Euclidean signature are quite different. A group of interest in Lorentzian signature in n dimensions is the maximal proper subgroup of the Lorentz group, SIM(n-2). Ricci-flat metrics with SIM(2) holonomy were constructed by Kerr and Goldberg, and a single four-dimensional example with a non-zero cosmological constant was exhibited by Ghanam and Thompson. Here we reduce the problem of finding the general $n$-dimensional Einstein metric of SIM(n-2) holonomy, with and without a cosmological constant, to solving a set linear generalised Laplace and Poisson equations on an (n-2)-dimensional Einstein base manifold. Explicit examples may be constructed in terms of generalised harmonic functions. A dimensional reduction of these multi-centre solutions gives new time-dependent Kaluza-Klein black holes and monopoles, including time-dependent black holes in a cosmological background whose spatial sections have non-vanishing curvature.
dc.descriptionTypos corrected; 29 pages
dc.identifierhttps://arxiv.org/abs/0709.2440
dc.identifierhttp://arxiv.org/abs/0709.2440
dc.identifierClass.Quant.Grav.25:125015,2008
dc.identifierdoi:10.1088/0264-9381/25/12/125015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/199130
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectDifferential Geometry
dc.titleTime-Dependent Multi-Centre Solutions from New Metrics with Holonomy Sim(n-2)
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