Periodic distribution of galaxies in generalized scalar tensor theory

TL;DR

This paper presents an exact analytical model within scalar tensor theory showing that during the early radiation era, the gravitational coupling and Hubble parameter oscillate, then stabilize, aligning with observational constraints.

Contribution

It introduces a novel scalar tensor cosmology model with oscillating G and H during radiation era, ensuring compatibility with current observations.

Findings

G and H oscillate during early radiation era

G approaches current constant value over time

H decreases monotonically during the era

Abstract

With the help of Nordtvedt's scalar tensor theory an exact analytical model of a non-minimally coupled scalar field cosmology in which the gravitational coupling $G$ and the Hubble factor $H$ oscillate during the radiation era is presented. A key feature is that the oscillations are confined to the early stages of the radiation dominated era with $G$ approaching its present constant value while $H$ becoming a monotonically decreasing function of time. The Brans Dicke parameter $\omega$ is chosen to be a function of Brans Dicke scalar field so that no conflict with observational constraints regarding its present value arises.