Conroy, Aindriu and Mazumdar, Anupam and Talaganis, Spyridon and Teimouri, Ilia (2015) Nonlocal gravity in D-dimensions : propagators, entropy, and bouncing cosmology. Physical Review D, 92 (12): 124501. ISSN 1550-7998
PhysRevD.92.124051.pdf - Published Version
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1509.01247.pdf - Accepted Version
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Abstract
We present the graviton propagator for an infinite derivative, D-dimensional, nonlocal 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 black hole, generalized 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 nonsingular bouncing cosmology.