Energy Conditions in Non-local Gravity

Abstract

We investigate the different energy conditions in nonlocal gravity, which is obtained by adding an arbitrary function of d'Alembertian operator, $f({\square }^{-1})$, to the Hilbert- Einstein action. We analyze the validity of four different energy conditions and illustrate the different constraints over parameters of the power law solution as well as de Sitter solution.

arXiv commentversion accepted for publication in International Journal of Geometric Methods in Modern Physics

References in corpus (37)

• Extended Theories of Gravity
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Cosmological parameter analysis including SDSS Ly-alpha forest and galaxy bias: constraints on the primordial spectrum of fluctuations, neutrino mass, and dark energy
• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Quintom Cosmology: Theoretical implications and observations
• Cosmological Evolution of a Quintom Model of Dark Energy
• Cosmological Tests of Modified Gravity
• Bouncing Universes in String-inspired Gravity
• Nonlocal Cosmology
• Black holes, cosmological solutions, future singularities, and their thermodynamical properties in modified gravity theories
• Modified non-local-F(R) gravity as the key for the inflation and dark energy
• Crossing of the w=-1 Barrier by D3-brane Dark Energy Model
• Causes of Irregular Energy Density in $f(R,T)$ Gravity
• Dynamical vacuum energy, holographic quintom, and the reconstruction of scalar-field dark energy
• Generalized energy conditions in Extended Theories of Gravity
• Energy conditions in modified gravity
• Dynamics of Nonlocal Cosmology
• The Influence of Modification of Gravity on the Dynamics of Radiating Spherical Fluids
• Phantom and non-phantom dark energy: The cosmological relevance of non-locally corrected gravity
• Localization of nonlocal theories
• Quintom cosmologies admitting either tracking or phantom attractors
• Reconstructing the Distortion Function for Nonlocal Cosmology
• Newtonian limit of nonlocal cosmology
• Quintom Cosmology with General Potentials
• Bouncing and Accelerating Solutions in Nonlocal Stringy Models
• Screening of cosmological constant in non-local gravity
• Structure formation in a nonlocally modified gravity model
• Screening of cosmological constant in non-local cosmology
• De Sitter Universe in Nonlocal Gravity
• Comments on scalar-tensor representation of nonlocally corrected gravity
• Spherical systems in models of nonlocally corrected gravity
• Reconstruction Procedure in Nonlocal Cosmological Models
• Screening of cosmological constant for De Sitter Universe in non-local gravity, phantom-divide crossing and finite-time future singularities
• Reconstruction of scalar potentials in two-field cosmological models
• Nonlocal Gravitational Models and Exact Solutions
• Primordial Density Perturbations and Reheating from Gravity
• Non-Local Gravity from Hamiltonian Point of View

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• Compact Stars in $f(\mathcal{R},\mathcal{G},\mathcal{T})$ Gravity
• Charged Compact Stars in Extended $f(\mathcal{R},\mathcal{G},\mathcal{T})$ Gravity
• $f(T)$ Cosmology with Nonzero Curvature
• $f(T,B)$ gravity in a Friedmann-Lema\^ıtre-Robertson-Walker universe with nonzero spatial curvature
• Effects of $f(R,G)$ gravity on anisotropic charged compact objects
• Some Specific Wormhole Solutions in Extended $f(R,G,T)$ Gravity
• Energy Conditions in Extended $f(R,G,T)$ Gravity
• Logarithm Corrections and Thermodynamics for Horndeski gravity like Black Holes