Observational Viability and Stability of Nonlocal Cosmology

Abstract

We show that a class of nonlocal gravity models, proposed to explain current cosmic acceleration without dark energy, passes two major tests: First, they can be defined so as not to alter the, observationally correct, general relativity predictions for gravitationally bound systems. Second, they are stable, ghost-free, with no additional excitations beyond those of general relativity. In this they differ from their, ghostful, localized versions. The systems' initial value constraints are the same as in general relativity, and our nonlocal modifications never convert the original gravitons into ghosts.

13 pages, no figures, uses LaTeX2e. Version 2 is significantly expanded (16 pages) for publication in JCAP

References in corpus (22)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Cosmology and the Fate of Dilatation Symmetry
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Disappearing cosmological constant in f(R) gravity
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• Towards a Resolution of the Cosmological Singularity in Non-local Higher Derivative Theories of Gravity
• Stochastic Inflationary Scalar Electrodynamics
• Leading Log Solution for Inflationary Yukawa
• Dynamics of Nonlocal Cosmology
• Accelerating cosmologies from non-local higher-derivative gravity
• Parametrizations of the Dark Energy Density and Scalar Potentials
• Reconstructing the Distortion Function for Nonlocal Cosmology
• Newtonian limit of nonlocal cosmology
• Differentiating dark energy and modified gravity with galaxy redshift surveys
• Screening of cosmological constant in non-local gravity
• Fading Gravity and Self-Inflation
• A Simple Operator Check of the Effective Fermion Mode Function during Inflation
• Reconstruction Procedure in Nonlocal Cosmological Models
• Running of Newton's constant and non integer powers of the d'Alembertian

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