Energy Conditions in $f(G)$ Modified Gravity with Non-minimal Coupling to Matter

Abstract

In this paper we study a model of modified gravity with non-minimal coupling between a general function of the Gauss-Bonnet invariant, $f(G)$, and matter Lagrangian from the point of view of the energy conditions. Such model has been introduced in Ref. [21] for description of early inflation and late-time cosmic acceleration. We present the suitable energy conditions for the above mentioned model and then, we use the estimated values of the Hubble, deceleration and jerk parameters to apply the obtained energy conditions to the specific class of modified Gauss-Bonnet models.

12 pages, no figur, Accepted for publication in Astrophysics and Space Science

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• The role of energy conditions in $f(R)$ cosmology
• Energy Conditions in Modified $f(G)$ Gravity
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• Anisotropic compact stars in $f(R)$ gravity
• Analysis with observational constraints in $\Lambda$-cosmology in $f(R,T)$ gravity
• Reconstruction of f(T) gravity from the Holographic dark energy
• On the non-attractive character of gravity in f(R) theories
• A reconstruction of modified holographic Ricci dark energy in $f(R,T)$ gravity
• Strong energy condition and the repulsive character of f(R) gravity
• Energy Conditions in Higher Derivative $f(R,\square R,T)$ Gravity
• Cosmology with Hu-Sawicki gravity in Palatini Formalism
• A study on the interacting Ricci dark energy in $f(R,T)$ gravity
• Reconstructions of $f(T)$ Gravity from Entropy Corrected Holographic and New Agegraphic Dark Energy Models in Power-law and Logarithmic Versions
• Energy conditions in f(T) gravity with higher-derivative torsion terms
• Energy conditions in mimetic-$f(R)$ gravity
• Cosmology of the interacting Tsallis holographic dark energy in $f(R,T)$ gravity framework
• $\kappa (R,T)$ gravity
• Reconstruction of energy conditions from observations and implications for extended theories of gravity
• Energy Conditions in $f(P)$ Gravity
• Dynamics of quasi de Sitter and linear combination of exponential models in extended gravity