Chameleonic dark matter and reheating constraints in a logarithmic f(R) gravity

Abstract

We investigated the viability of a logarithmic [Formula: see text] gravity in calculating the reheating temperature and describing dark matter. We discovered that the logarithmic model possessed a chameleon problem, and we addressed this by modifying the model to incorporate the [Formula: see text] term from the Starobinsky model. We examined the viability of the corrected model and revealed that it provided the same reheating temperature as the original logarithmic model, approximately [Formula: see text][Formula: see text]GeV. However, the constraints on the parameter [Formula: see text] are significantly different in the [Formula: see text]-Logarithmic [Formula: see text] gravity, in which we obtained [Formula: see text] instead of [Formula: see text] in the original model. Furthermore, the [Formula: see text]-Logarithmic [Formula: see text] model avoids the chameleon problem, and the scalaron derived from the model can be a potential dark matter candidate with [Formula: see text].