Cosmological applications in Kaluza-Klein theory

TL;DR

This paper explores cosmological models within Kaluza-Klein theory by solving field equations with time-dependent constants, using Taylor expansion of the cosmological function, and discusses implications for cosmological problems.

Contribution

It introduces a method to solve Kaluza-Klein field equations with time-varying constants using Taylor expansion, providing new insights into cosmological parameters.

Findings

Derived cosmological parameters for a flat universe with variable constants.

Discussed implications for cosmological problems such as dark energy or universe expansion.

Showed the applicability of Taylor expansion in cosmological models with Kaluza-Klein theory.

Abstract

The field equations of Kaluza-Klein (KK) theory have been applied in the domain of cosmology. These equations are solved for a flat universe by taking the gravitational and the cosmological constants as a function of time t. We use Taylor's expansion of cosmological function, $\Lambda(t)$, up to the first order of the time $t$. The cosmological parameters are calculated and some cosmological problems are discussed.