Multidimensional Cosmology with a Generalized Maxwell Field: Integrable Cases

dc.creatorBronnikov, Kirill A.
dc.date1997-04-06
dc.date.accessioned2026-07-07T03:31:33Z
dc.date.available2026-07-07T03:31:33Z
dc.descriptionWe consider multidimensional cosmologies in even-dimensional space-times (D=2n) containg perfect fluid and a multidimensional generalization of the Maxwell field, preserving its conformal invariance (the F field, an n-form). Among models with an isotropic physical 3-space some integrable cases are found: vacuum models (which are integrable in the general case) and some perfect fluid models with barotropic equations of state. All of them contain a component of the F field appearing as an additional scalar in 4 dimensions. A two-parameter family of spatially flat models and four one-parameter families, including non-spatially flat models, have been obtained (where the parameters are constants from the fluid equation of state). All these integrable models admit the inclusion of a massless scalar field or an additional fluid with ultrastiff equation of state. Basic properties of vacuum models in the physical conformal frame are outlined.
dc.description6 pages, Latex. To appear in Grav. and Cosmol. v.3, No.1 (1997)
dc.identifierhttps://arxiv.org/abs/gr-qc/9704012
dc.identifierhttp://arxiv.org/abs/gr-qc/9704012
dc.identifierGrav.Cosmol. 3 (1997) 65-70
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/35904
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleMultidimensional Cosmology with a Generalized Maxwell Field: Integrable Cases
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