Cosmological Models of Universe with Variable Deceleration Parameter in Lyra's Manifold

TL;DR

This paper develops new cosmological models within Lyra's manifold featuring a variable deceleration parameter, deriving exact solutions for exponential, polynomial, and sinusoidal universe behaviors.

Contribution

It introduces a novel class of exact solutions in Lyra's manifold with a time-dependent displacement field and variable deceleration parameter, expanding cosmological modeling options.

Findings

Derived three distinct universe models: exponential, polynomial, sinusoidal.

Analyzed the behavior of these models over cosmic time.

Discussed potential directions for future research.

Abstract

FRW models of the universe have been studied in the cosmological theory based on Lyra's manifold. A new class of exact solutions has been obtained by considering a time dependent displacement field for variable deceleration parameter from which three models of the universe are derived (i) exponential (ii) polynomial and (iii) sinusoidal form respectively. The behaviour of these models of the universe are also discussed. Finally some possibilities of further problems and their investigations have been pointed out.