Cosmological evolution of generalized non-local gravity

Abstract

We construct a class of generalized non-local gravity (GNLG) model 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. Concretely, we not only study the gravitational equation for the GNLG model by introducing auxiliary scalar fields, but also analyse the classical stability and examine the cosmological consequences of the model for different exponent $n$. We find that the half of the scalar fields are always ghost-like and the exponent $n$ must be taken even number for a stable GNLG model. Meanwhile, the model spontaneously generates three dominant phases of the evolution of the universe, and the equation of state parameters turn out to be phantom-like. Furthermore, we clarify in another way that exponent $n$ should be even numbers by discuss the spherically symmetric static solutions in Newtonian gauge. It is worth stressing that the results given by us can include ones in refs. [28, 34] as the special case of $n=2$.

16 pages, 6 figures, 1 table

References in corpus (14)

• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• Three Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Polarization Analysis
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Cosmological perturbations and structure formation in nonlocal infrared modifications of general relativity
• Dynamics of Nonlocal Cosmology
• Reconstructing the Distortion Function for Nonlocal Cosmology
• Newtonian limit of nonlocal cosmology
• Generalised Quadratic Curvature, Non-Local Infrared Modifications of Gravity and Newtonian Potentials
• Nonlinear structure formation in Nonlocal Gravity
• Five-dimensional generalized $f(R)$ gravity with curvature-matter coupling
• Acausality in Nonlocal Gravity Theory
• Stability analysis and future singularity of the $m^{2}R{\square }^{-2}R$ model of non-local gravity
• Spherical collapse in the extended quintessence cosmological models
• Testing a dissipative kinetic k-essence model

Cited by in corpus (4)

• Revival of the Deser-Woodard nonlocal gravity model: Comparison of the original nonlocal form and a localized formulation
• Cosmology of the non-local Proca theory
• The Case for Nonlocal Modifications of Gravity
• Energy conditions and constraints on the generalized non-local gravity model