Time variation of the gravitational coupling constant in decrumpling cosmology

TL;DR

This paper investigates how the gravitational coupling constant varies over time within a universe model featuring changing spatial dimensions, using observational data to constrain its rate of change.

Contribution

It introduces constraints on the time variation of the gravitational coupling constant in a decrumpling cosmology model based on observational bounds.

Findings

The absolute value of the time variation of the gravitational coupling constant is less than approximately 10^{-11} yr^{-1}.

The model links the variation of the gravitational constant to the changing spatial dimensions.

Observational bounds on Newton's constant are used to constrain theoretical predictions.

Abstract

Within the framework of a model universe with time variable space dimension (TVSD) model, known as decrumpling or TVSD model, we study the time variation of the gravitational coupling constant. Using observational bounds on the present time variation of the gravitational Newton's constant in three-dimensional space we are able to obtain a constraint on the time variation of the gravitational coupling constant. As a result, the absolute value of the time variation of the gravitational coupling constant must be less than $\sim 10^{-11} {\rm yr}^{-1}$.