How different connections in flat FLRW geometry impact energy conditions in $f(Q)$ theory?

Abstract

In this study of the modified $f(Q)$ theory of gravity in the spatially flat Friedmann-Lemaître-Robertson-Walker (FLRW) spacetime, we explore all the affine connections compatible with the symmetric teleparallel structure; three classes of such connections exist, each involving an unknown time-varying parameter $\gamma (t)$. Assuming ordinary barotropic fluid as the matter source, we first derive the Friedmann-like pressure and energy equations. Next we impose constraints on the parameters of two separate $f(Q)$ models, $f(Q)=Q+\beta Q^2$ and $f(Q)=Q+\beta \sqrt{-Q}$ from the traditional energy conditions. Observational values of some prominent cosmological parameters are used for this purpose, yielding an effective equation of state ${\omega }^{eff}=-0.82$.

arXiv commentTo be published in the journal "Fortschritte der Physik"

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• Modelling the Accelerating Universe with $f(Q)$ Gravity: Observational Consistency
• Neutron Star in Covariant $f(Q)$ gravity
• Dynamical system analysis of scalar field cosmology in coincident $f(Q)$ gravity
• Spatial curvature in coincident gauge $f(Q)$ cosmology
• Cosmological constraints on $f(Q)$ gravity models in the non-coincident formalism
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• Static plane symmetric solutions in $f(Q)$ gravity