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A unimodular Kaluza-Klein theory

2024/03/25 by Fabris, Júlio C., Kerner, Richard
#Cosmology and Nongalactic Astrophysics (astro-ph.CO) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th)

paper · doi:10.48550/arxiv.2403.17278

Abstract

Unimodular gravity became an object of increasing interest in the late 80-ties and was recently used in primordial Universe modeling with cosmological constant, in the context of the Brans-Dicke gravity including scalar field. In the present article we investigate the possibility of imposing the unimodular condition within the 5-dimensional Kaluza-Klein theory including the scalar field. The variational principle is formulated in 5 dimensions first, and dimensional reduction is applied to the resulting set of equations. A cosmological model based on these equations is then presented and discussed.

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