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Modeling dark sector in Horndeski gravity at first-order formalism
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We investigate a cosmological scenario by finding solutions using first-order formalism in the Horndeski gravity that constrains the superpotential and implies that no free choice of scalar potential is allowed. Despite this we show that a de Sitter phase at late-time cosmology can be realized, where the dark energy sector can be identified. The scalar field equation of state tends to the cosmological scenario at present time and allows us to conclude that it can simulate the dark energy in the Horndeski gravity.
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Cosmological scalar perturbations in Horndeski-like gravity
For a Horndeski-like scalar-tensor model with a chosen background solution, scalar stability and entropy-production bounds restrict the coupling gamma to be non-positive and constrain gamma*Lambda relative to alpha.
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