Multidimensional Cosmology with a Generalized Maxwell Field : Integrable Cases
نویسنده
چکیده
We consider multidimensional cosmologies in even-dimensional space-times (D = 2n) containg perfect uid and a multidimensional generalization of the Maxwell eld FA 1 An preserving its conformal invariance. 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 uid models with barotropic equations of state. All of them contain a component of the F eld appearing as an additional scalar in 4 dimensions. A two-parameter family of spatially at models and four one-parameter families, including non-spatially at models, have been obtained (where the parameters are constants from the uid equation of state). All these integrable models admit the inclusion of a massless scalar eld or an additional uid with the maximally stii equation of state. Basic properties of vacuum models in the physical conformal frame are outlined.
منابع مشابه
Russian Gravitational Society Institute of Metrological Service Center for Gravitation and Fundamental Metrology
We consider multidimensional cosmologies in even-dimensional space-times (D = 2n) containg perfect fluid and a multidimensional generalization of the Maxwell field FA1···An preserving its conformal invariance. 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 equ...
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