Cosmological perturbations in a gravity with quadratic-order curvature couplings

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Abstract
We present a set of equations describing the evolution of the scalar-type cosmological perturbation in a gravity with general quadratic-order curvature coupling terms. Equations are presented in a gauge-ready form and thus are ready to implement various temporal gauge conditions depending on the problems. The Ricci-curvature square term leads to a fourth-order differential equation for describing the spacetime fluctuations in a spatially homogeneous and isotropic cosmological background.
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