Perfect Fluid LRS Bianchi I with Time Varying Constants

TL;DR

This paper explores how gravitational constant G, speed of light c, and cosmological constant Lambda vary over time within a specific anisotropic universe model, revealing their dynamic behaviors under certain conditions.

Contribution

It introduces exact solutions for a Bianchi I universe with time-varying constants, considering the effects of a variable speed of light on curvature.

Findings

G and c increase over time when q<0

Lambda decreases and is negative over time

The model provides specific solutions for the evolution of constants

Abstract

It is investigated the behaviour of the ``constants'' $G,$ $c$ and $\Lambda $ in the framework of a perfect fluid LRS Bianchi I cosmological model. It has been taken into account the effects of a $c-$variable into the curvature tensor. Two exact cosmological solutions are investigated, arriving to the conclusion that if $q<0$ (deceleration parameter) then $G,$ $c$ are growing functions on time $t$ while $\Lambda $ is a negative decreasing function on time.