Periodic cosmic evolution in $f(Q)$ gravity formalism

TL;DR

This paper explores a model of the universe's accelerated expansion exhibiting periodic behavior within $f(Q)$ gravity, deriving exact solutions and analyzing their physical viability against observational data.

Contribution

It introduces a novel periodic deceleration parameter in $f(Q)$ gravity, providing exact solutions and detailed analysis of cosmic periodicity and singularities.

Findings

Demonstrates periodic cosmic transit behavior in $f(Q)$ gravity

Provides observational constraints on the model

Analyzes dynamics of periodicity and singularities

Abstract

We study the periodic cosmic transit behavior of accelerated universe in the framework of symmetric teleparallelism. The exact solution of field equations is obtained by employing a well known deceleration parameter (DP) called periodic varying deceleration parameter (PVDP), $q = m cos kt-1$. The viability and physical reliability of the DP are studied by using the observational constraint. The dynamics of periodicity and singularity are addressed in details with respect to time and redshift parameter. Several ECs are discussed in this setting.