Vacuum Plane Waves in 4+1 D and Exact solutions to Einstein's Equations in 3+1 D

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dc.creatorHervik, Sigbjorn
dc.date2002-10-23
dc.date2003-06-02
dc.date.accessioned2026-07-07T11:08:40Z
dc.date.available2026-07-07T11:08:40Z
dc.descriptionIn this paper we derive homogeneous vacuum plane-wave solutions to Einstein's field equations in 4+1 dimensions. The solutions come in five different types of which three generalise the vacuum plane-wave solutions in 3+1 dimensions to the 4+1 dimensional case. By doing a Kaluza-Klein reduction we obtain solutions to the Einstein-Maxwell equations in 3+1 dimensions. The solutions generalise the vacuum plane-wave spacetimes of Bianchi class B to the non-vacuum case and describe spatially homogeneous spacetimes containing an extremely tilted fluid. Also, using a similar reduction we obtain 3+1 dimensional solutions to the Einstein equations with a scalar field.
dc.description16 pages, no figures
dc.identifierhttps://arxiv.org/abs/gr-qc/0210080
dc.identifierhttp://arxiv.org/abs/gr-qc/0210080
dc.identifierClass.Quant.Grav.20:4315-4327,2003
dc.identifierdoi:10.1088/0264-9381/20/19/312
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/190212
dc.subjectGeneral Relativity and Quantum Cosmology
dc.subjectAstrophysics
dc.subjectHigh Energy Physics - Theory
dc.titleVacuum Plane Waves in 4+1 D and Exact solutions to Einstein's Equations in 3+1 D
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