2009/06/04 by Valentino Lacquaniti, V. LACQUANITI, Giovanni Montani +1
Physics and Astronomy · #Advanced Differential Geometry Research #Black Holes and Theoretical Physics #Compactification (mathematics) #Cosmology and Gravitation Theories #Dilaton #Dimensional reduction #Field equation #Reduction (mathematics) #Scalar (mathematics) #Scalar field #Scalar–tensor theory #Tensor (intrinsic definition) #gr-qc
paper · pdf · doi:10.1142/s0217732309030904
published as Mod. Phys. Lett. A, 24, No. 20 (2009,) pp. 1565-1575 · to appear on IJMPA
arxiv created 2009/06/04 · openalex publication_date 2009/06/28 · arxiv updated 2015/05/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In this paper we consider the Kaluza–Klein field equations in the presence of a generic 5D matter tensor which is governed by a conservation equation due to 5D Bianchi identities. Following a previous work, we provide a consistent approach to matter where the problem of huge massive modes is removed, without relaxing the compactification hypotheses; therefore we perform the dimensional reduction either for metric fields and for matter, thus identifying a pure 4D tensor term, a 4D vector term and a scalar one. Hence we are able to write down a consistent set of equations for the complete dynamics of matter and fields; with respect to the pure Einstein–Maxwell system we now have two additional scalar fields: the usual dilaton one plus a scalar source term. Some significant scenarios involving these terms are discussed and perspectives for cosmological applications are suggested.