Bianchi Type-I Cosmological Models with Variable G and 4\Lambda$-Terms in General Relativity

TL;DR

This paper explores Bianchi type-I cosmological models within general relativity, considering variable gravitational and cosmological constants, analyzing four decay scenarios of Lambda, and discussing their physical implications and observational consistency.

Contribution

It introduces and analyzes new Bianchi type-I models with variable G and Lambda, including four decay cases consistent with observations.

Findings

Four decay scenarios of Lambda are consistent with observations

Variable G and Lambda models provide viable cosmological solutions

Physical implications of these models are discussed

Abstract

Einstein's field equations with variable gravitational and cosmological ``constant'' are considered in presence of perfect fluid for Bianchi type-I spacetime. Consequences of the four cases of the phenomenological decay of $\Lambda$ have been discussed which are consistent with observations. The physical significance of the cosmological models have also been discussed.