Energy conditions in $f(R,G)$ gravity

Abstract

Modified gravity is one of the most favorable candidates for explaining the current accelerating expansion of the Universe. In this regard, we study the viability of an alternative gravitational theory, namely $f(R,G)$, by imposing energy conditions. We consider two forms of $f(R,G)$, commonly discussed in the literature, which account for the stability of cosmological solutions. We construct the inequalities obtained by energy conditions and specifically apply the weak energy condition using the recent estimated values of the Hubble, deceleration, jerk and snap parameters to probe the viability of the above-mentioned forms of $f(R,G)$.

10 pages, 6 figures. arXiv admin note: text overlap with arXiv:1011.4159, arXiv:1012.0953 by other authors

References in corpus (56)

• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Measurements of Omega and Lambda from 42 High-Redshift Supernovae
• Dynamics of dark energy
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• f(R) theories
• Introduction to Modified Gravity and Gravitational Alternative for Dark Energy
• Dark energy in modified Gauss-Bonnet gravity: late-time acceleration and the hierarchy problem
• Gauss-Bonnet dark energy
• Constraining dark energy with SNe Ia and large-scale structure
• Low surface brightness galaxies rotation curves in the low energy limit of $R^n$ gravity : no need for dark matter?
• Dark energy cosmology from higher-order, string-inspired gravity and its reconstruction
• Modified gravity and its reconstruction from the universe expansion history
• Construction of cosmologically viable f(G) gravity models
• String-inspired Gauss-Bonnet gravity reconstructed from the universe expansion history and yielding the transition from matter dominance to dark energy
• The Cosmology of Modified Gauss-Bonnet Gravity
• Energy conditions in f(R)-gravity
• Dark energy and dark matter as curvature effects
• A kinematical approach to dark energy studies
• LambdaCDM epoch reconstruction from F(R,G) and modified Gauss-Bonnet gravities
• Dark energy problem: from phantom theory to modified Gauss-Bonnet gravity
• Energy conditions and galaxy formation
• Energy conditions in the epoch of galaxy formation
• Testing some f(R,T) gravity models from energy conditions
• General Relativistic Energy Conditions: The Hubble expansion in the epoch of galaxy formation
• The evolution of density perturbations in f(R) gravity
• Analysis of Rotation Curves in the framework of R^n gravity
• On the stability of the cosmological solutions in f(R,G) gravity
• Solar system constraints on f(G) gravity models
• Energy Conditions Constraints and Stability of Power Law Solutions in f(R,T) Gravity
• Stability of the Einstein static universe in f(R) gravity
• Energy conditions bounds on f(T) gravity
• Energy conditions in modified Gauss-Bonnet gravity
• Constraining f(R) theories with the energy conditions
• Cosmological Constraints on $f(G)$ Dark Energy Models
• Stability of the Einstein static universe in modified Gauss-Bonnet gravity
• On the Stability of a class of Modified Gravitational Models
• Energy Conditions and Cosmic Acceleration
• Dark matter and dark energy as a effects of Modified Gravity
• On the co-existence of matter dominated and accelerating solutions in f(G)-gravity
• Energy conditions in f(R) gravity and Brans-Dicke theories
• The evolution of cosmological gravitational waves in f(R) gravity
• Energy Conditions and Supernovae Observations
• Cosmological scaling solutions in generalised Gauss-Bonnet gravity theories
• Non-geodesic motion in $f(\mathcal{G})$ gravity with non-minimal coupling
• Remarks on generalized Gauss-Bonnet dark energy
• Energy Conditions and Segre Classification of Phantom Fields
• The cosmic snap parameter in f(R) gravity
• Lookback time bounds from energy conditions
• Metric gravity theories and cosmology. I. Physical interpretation and viability
• Strong Energy Condition in $R+R^2$ Gravity
• Perturbative aspects and conformal solutions of F(R) gravity
• Cosmic acceleration and crossing of $\omega =-1$ in non-minimal modified Gauss-Bonnet gravity
• $R+R^2$ Gravity as $R+$ Backreaction
• Cosmological entropy and generalized second law of thermodynamics in $F(R,G)$ theory of gravity
• Liouville-like solutions in dilaton gravity with Gauss-Bonnet modifications

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• Massive Compact Bardeen Stars with Conformal Motion
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• Accelerating bianchi type dark energy cosmological model with cosmic string in f(T) Gravity
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• Noether Symmetry Analysis of Anisotropic Universe in Modified Gravity
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• Geometric Perfect Fluids from Extended Gravity
• Cosmological Tests of $f(R,G,T)$ Dark Energy Model in FRW Universe
• Constructions of $f(R,G,\mathcal{T})$ Gravity from Some Expansions of the Universe
• Anisotropic Universe in $f(\mathcal{G},\text{T})$ Gravity
• How a conformally flat (GR)4 impacts Gauss-Bonnet gravity?
• Compact relativistic geometries in $f(R,G)$ gravity
• Extended Bose-Einstein condensate dark matter in viscous Gauss-Bonnet gravity
• Cosmological constant constraints from observation-derived energy condition bounds and their application to bimetric massive gravity
• Effects of $f(R,G)$ gravity on anisotropic charged compact objects
• The Fate of the Universe Evolution in the Quadratic Form of Ricci-Gauss-Bonnet Cosmology
• Well behaved class of Heintzmann's solution within $f(R,T)$ framework
• Energy conditions in a modified Brans-Dicke theory
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• Impact of projective curvature tensor in $f\left(R,G\right)$, $f\left(R,T\right)$ and $f\left(R,L_m\right)$-gravity
• Erratum to: Geodesic Deviation Equation in f(R) Gravity
• Energy conditions and constraints on the generalized non-local gravity model
• Constraints on Energy Conditions in $f(R,L_m)$ Gravity
• (Lovelock)${}^2$ inflation: explaining the ACT data and equivalence to Higgs-Gauss-Bonnet inflation