Cosmological Consequences of Exponential Gravity in Palatini Formalism

Understand

We investigate cosmological consequences of a class of exponential $f(R)$ gravity in the Palatini formalism.

• By using the current largest type Ia Supernova sample along with determinations of the cosmic expansion at intermediary and high-$z$ we impose tight constraints on the model parameters.
• Differently from other $f(R)$ models, we find solutions of transient acceleration, in which the large-scale modification of gravity will drive the Universe to a new decelerated era in the future.
• We also show that a viable cosmological history with the usual matter-dominated era followed by an accelerating phase is predicted for some intervals of model parameters.