Entropic gravity from noncommutative black holes

Understand

In this paper we will investigate the effects of a noncommutative (NC) space-time on the dynamics of the universe.

• We will generalize the black hole entropy formula for a NC black hole.
• Then, using the entropic gravity formalism, we will show that the noncommutativity changes the strength of the gravitational field.
• By applying this result to a homogeneous and isotropic universe containing nonrelativistic matter and a cosmological constant, we will show that the model modified by the noncommutativity of the space-time is a better fit to the obtained data than the standard one.