A New Class of LRS Bianchi Type-I Cosmological Models in Lyra's Manifold

TL;DR

This paper introduces a new class of exact LRS Bianchi type-I cosmological models within Lyra's geometry, considering a time-dependent displacement field and comparing results with Einstein's theory, aligned with recent supernova observations.

Contribution

It presents novel exact solutions for Bianchi type-I models in Lyra's geometry with a variable deceleration parameter, extending previous cosmological models.

Findings

Models are consistent with recent supernova data.

Physical properties of models analyzed with perfect fluids.

Comparison with Einstein's theory highlights differences in cosmological behavior.

Abstract

LRS Bianchi type-I models have been studied in the cosmological theory based on Lyra's geometry. A new class of exact solutions has been obtained by considering a time dependent displacement field for variable deceleration parameter models of the universe. We have compared our models with those of Einstein's field theory with the cosmological term $\Lambda$. Our frame of reference is restricted to the recent Ia observations of supernovae. Some physical behaviour of the models is also examined in the presence of perfect fluids.