Stability of Modified Gravity Coupled by the Weyl Tensor

TL;DR

This paper investigates the stability conditions of a modified gravity model coupled with the Weyl tensor, analyzing its cosmological implications, attractor behavior, and compatibility with observational data in a flat FLRW universe.

Contribution

It introduces a new stability analysis for Weyl tensor-coupled modified gravity and explores its cosmological dynamics and observational consistency.

Findings

Stability conditions for the modified gravity model are established.

The model's attractor properties are analyzed.

Comparison with observational data confirms the model's viability.

Abstract

In this paper, we try to consider the stability conditions of a modified gravity coupled by Weyl tensor. In this way, we indicate the suitable conditions for a successful bounce while the equation of state (EoS) parameter crosses the phantom divider for our new corrected modified gravity. In the spatially flat Friedmann-Lema\^{\i}tre-Robertson-Walker (FLRW) universe, according to the ordinary version of the holographic dark energy (HDE) model, describing accelerated expansion of the universe, will be considered. Our model's stability conditions and its general properties of attractors for scalar field scripts which control cosmological acceleration will be checked. The statefinder diagnostic parameters of our model will be compared by today's observational data and defined methods. However its EoS parameter will be obtained, too.