Energy Conditions in Non-local Gravity

Abstract

We investigate the different energy conditions in nonlocal gravity, which is obtained by adding an arbitrary function of d'Alembertian operator, $f({\square }^{-1})$, to the Hilbert- Einstein action. We analyze the validity of four different energy conditions and illustrate the different constraints over parameters of the power law solution as well as de Sitter solution.

version accepted for publication in International Journal of Geometric Methods in Modern Physics