An attempt to add Barrow entropy in $f(R)$ gravity

Understand

In this work, a way to consider together two originally different corrections to the Friedmann equations is presented.

• The first is the Barrow entropy, which imposes a fractal structure on the black hole horizon area.
• While the second is the well-known $f(R)$ gravity, which comes from a generalization of the Einstein-Hilbert action.
• Using the ideas of gravity-thermodynamics conjecture, these two models are combined.