Abstract
We propose a new model of [Formula: see text] gravity containing Arctan function in the Lagrangian. We show here that this model satisfies fifth force constraint unlike a similar model in 2013 by Kruglov. In addition to this, we carry out the fixed point analysis as well as comment on the existence of curvature singularity in this model. The cosmological evolution for this [Formula: see text] gravity model is also analyzed in the Friedmann–Robertson–Walker (FRW) background. To understand observational significance of the model, cosmological parameters are obtained numerically and compared with those of Lambda cold dark matter ([Formula: see text]CDM) model. We also scrutinize the model with supernova data. We apply [Formula: see text] diagnostic given by Sahni et al. in 2008 to the model. Using this diagnostic, we detect the distinction between cosmic evolution caused by the [Formula: see text] model and [Formula: see text]CDM. We find best-fit parameter values of the model using baryon acoustic oscillations data.
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