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

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• Massive Compact Bardeen Stars with Conformal Motion
• Relativistic isotropic stellar model in $f(R,T)$ gravity with Durgapal- IV Metric
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• Accelerating bianchi type dark energy cosmological model with cosmic string in f(T) Gravity
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• How a conformally flat (GR)4 impacts Gauss-Bonnet gravity?
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• 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
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• Reconstruction of energy conditions from observations and implications for extended theories of gravity
• 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
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• Constraints on Energy Conditions in $f(R,L_m)$ Gravity
• (Lovelock)${}^2$ inflation: explaining the ACT data and equivalence to Higgs-Gauss-Bonnet inflation