Energy condition bounds on $f(Q)$ model parameters in a curved FLRW universe

Abstract

In this exclusive study of the modified $f(Q)$ theory of gravity in the open and closed type Friedmann-Lemaître-Robertson-Walker (FLRW) universe model, we impose some constraints from the classical energy conditions. The viable range of parameter ${\hat{I}}^2$ for two different $f(Q)$ models, $f(Q)=Q+{\hat{I}}^2{Q}^2$ and $f(Q)=Q+{\hat{I}}^2\sqrt{-Q}$, are analyzed in details and the related cosmological implications are discussed. Violation of effective strong energy condition is resulting into late-time acceleration of the Universe. Present observational values of Hubble parameter and deceleration parameter are used to constrain the parameters.

Accepted for publication in Physics of the Dark Universe