Energy conditions and constraints on the generalized non-local gravity model

Abstract

We study and derive the energy conditions in generalized non-local gravity, which is the modified theory of general relativity (GR) obtained by adding a term $m^{2n-2}R{\square }^{-n}R$ to the Einstein-Hilbert action. Moreover, in order to get some insight on the meaning of the energy conditions, we illustrate the evolutions of four energy conditions with the model parameter $\epsilon$ for different $n$. By analysis we give the constraints on the model parameters $\epsilon$.

12 pages, 14 figures, 1 table

References in corpus (14)

• Dynamics of dark energy
• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Energy conditions in f(R)-gravity
• Cosmological perturbations and structure formation in nonlocal infrared modifications of general relativity
• Energy conditions in the epoch of galaxy formation
• Dynamics of Nonlocal Cosmology
• Energy conditions bounds on f(T) gravity
• Reconstructing the Distortion Function for Nonlocal Cosmology
• Newtonian limit of nonlocal cosmology
• Screening of cosmological constant in non-local gravity
• Nonlinear structure formation in Nonlocal Gravity
• Acausality in Nonlocal Gravity Theory
• Stability analysis and future singularity of the $m^{2}R{\square }^{-2}R$ model of non-local gravity
• Cosmological evolution of generalized non-local gravity

Cited by in corpus (1)

• Revival of the Deser-Woodard nonlocal gravity model: Comparison of the original nonlocal form and a localized formulation