Screening of cosmological constant in non-local gravity

2010/10/26 by Shin'ichi Nojiri, Shin’ichi Nojiri, Sergei D. Odintsov +2 · 11 citations
Earth and Planetary Sciences · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Geophysics and Gravity Measurements #astro-ph.CO #gr-qc #hep-th

paper · pdf · doi:10.1016/j.physletb.2010.12.035

published as Phys.Lett.B696:278-282,2011 · LaTeX 7 pages, no figure

arxiv created 2010/10/26 · openalex publication_date 2010/12/23 · arxiv updated 2011/01/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/30

Abstract

We discuss a possible mechanism to screen a cosmological constant in non-local gravity. We find that in a simple model of of non-local gravity with the Lagrangian of the form, R+f(\Box^-1R)-2Λ where f(X) is a quadratic function of X, there is a flat spacetime solution despite the presence of the cosmological constant Λ. Unfortunately, however, we also find that this solution contains a ghost in general. Then we discuss the condition to avoid a ghost and find that one can avoid it only for a finite range of `time'. Nevertheless our result suggests the possibility of solving the cosmological constant problem in the context of non-local gravity.

Cited by

• A non-local origin for massive gravity and late-time acceleration
• Newtonian potential from scattering amplitudes in super-renormalizable gravity
• Non-local Metric-Affine Gravity
• The stability of the de-Sitter universe in nonlocal gravity
• Uncertainty Principles and Non-local Black Holes
• New representation of the nonlocal ghost-free gravity theory
• Stable analytic bounce in non-local Einstein–Gauss–Bonnet cosmology
• Cosmological solutions of a nonlocal model with a perfect fluid
• Phase space description of nonlocal teleparallel gravity
• Super-accelerating bouncing cosmology in asymptotically free non-local gravity
• On the covariant formalism of the effective field theory of gravity and leading order corrections

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• Non-Local Modification of Gravity and the Cosmological Constant Problem
• The Cosmological Constant Emerging From Local Poincare Invariance
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• Ghost-free non-local F(R) Gravity Cosmology