Accelerating universe in Kaniadakis cosmology without need of dark energy

Understand

Taking into consideration of Kaniadakis entropy associated with the apparent horizon of Friedmann-Robertson-Walker (FRW) Universe and using the gravity-thermodynamics conjecture, a new cosmological scenarios emerges based on corrected Friedmann equations, which contains a correction term $ \alpha\left(H^2+\frac{k}{a^2}\right)^{-1}$ where $\alpha\equiv\frac{K^2 \pi^2}{2 G^2}$ and $K$ is Kaniadakis parameter.

• We show that it is possible to reconstruct the parameters of the model, in terms of cosmographic parameters$\{ q, j, s\}$ analytically.
• For the flat universe, the parameters can be reconstructed in terms of only two cosmographic parameters $\{q, j\}$.
• The advantage of this analytical reconstruction is that it provides the possibility to test observational measurements on Kaniadakis cosmology using directly measurable cosmographic parameters.