Non-local gravity in D-dimensions: Propagator, entropy and bouncing
  Cosmology
  We present the graviton propagator for an infinite derivative,
$D$-dimensional, non-local action, up to quadratic order in curvature around a
Minkowski background, and discuss the conditions required for this class of
gravity theory to be ghost-free. We then study the gravitational entropy for
de-Sitter and Anti-de Sitter backgrounds, before comparing with a recently
derived result for a Schwarzschild blackhole, generalised to arbitrary
$D$-dimensions, whereby the entropy is given simply by the area law. A novel
approach of decomposing the entropy into its $(r, t)$ and spherical components
is adopted in order to illustrate the differences more clearly. We conclude
with a discussion of de-Sitter entropy in the framework of a non-singular
bouncing cosmology.
