Non-local gravity in D-dimensions: Propagator, entropy and bouncing Cosmology

Abstract

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.

8 pages. It has been accepted for publication on PRD

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• Stability of Schwarzschild singularity in non-local gravity
• High-Energy Scatterings in Infinite-Derivative Field Theory and Ghost-Free Gravity
• Generalised Boundary Terms for Higher Derivative Theories of Gravity
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• Probing the vacuum fluctuations in scalar ghost-free theories
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• Entropy of black hole in the infinite-derivative gravity
• The Cosmology of an Infinite Dimensional Universe
• Revealing Infinite Derivative Gravity's true potential: The weak-field limit around de Sitter backgrounds
• Hamiltonian Analysis for Infinite Derivative Field Theories and Gravity
• Interesting features of a general class of higher derivative theories of quantum gravity
• Towards UV Finiteness of Infinite Derivative Theories of Gravity and Field Theories
• Conditions for defocusing around more general metrics in Infinite Derivative Gravity
• Criteria for resolving the cosmological singularity in Infinite Derivative Gravity around expanding backgrounds
• Rotating black hole and entropy for modified theories of gravity
• Nonlocal scalar field in an external potential: WKB approximation
• Unitarity in Infinite Derivative Theories
• De Sitter Cores from Nonlocal Quantum Field Theories
• A Covariant Curvature-History Field Formulation for State-Dependent Infinite-Derivative Gravity