Constraining Barrow entropy-based Cosmology with power-law inflation

Understand

We study the inflationary era of the Universe in a modified cosmological scenario based on the gravity-thermodynamics conjecture with Barrow entropy instead of the usual Bekenstein-Hawking one.

• The former arises from the effort to account for quantum gravitational effects on the horizon surface of black holes and, in a broader sense, of the Universe.
• First, we extract modified Friedmann equations from the first law of thermodynamics applied to the apparent horizon of a Friedmann- Robertson-Walker Universe in (n + 1)-dimensions.
• Assuming a power-law behavior for the scalar inflaton field, we then investigate how the inflationary dynamics is affected in Barrow cosmological setup.