Perturbative analysis of singularity-free cosmological solutions in unimodular Kaluza-Klein theory
Abstract
The unimodular version of the Kaluza-Klein theory is briefly recalled, and its projection on the 4-dimensional spacetime is constructed. Imposing unimodularity condition on the 5-dimensional Kaluza-Klein metric, detgAB=1 is equivalent with introducing cosmological term in Einstein's equations in 4 dimensions, and with scalar field of the Brans-Dicke type. Singularity-free cosmological solutions with scalar field and with matter sources are constructed, and their basic properties analyzed, along the results obtained in previous publications. In the present paper, attention is focussed on the perturbative analysis of cosmological solutions, providing a clue concerning their stability against small fluctuations.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.