Inflation Based on the Tsallis Entropy

Understand

We study the inflationary scenario in the Tsallis entropy-based cosmology.

• The Friedmann equations in this setup can be derived by using the first law of thermodynamics.
• To derive the relations of the power spectra of the scalar and tensor perturbations in this setup, we reconstruct an $f(R)$ gravity model which is thermodynamically equivalent to our model in the slow-roll approximation.
• In this way, we find the inflationary observables, including the scalar spectral index and the tensor-to-scalar ratio in our scenario.