A combination of Ricci and inverse-Ricci scalars is constructed that gives regular FLRW background equations, reducing the linear model to general relativity with a shifted Hubble constant.
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, 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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The Regular Ricci-Inverse Cosmology with Multiple Anticurvature Scalars
A combination of Ricci and inverse-Ricci scalars is constructed that gives regular FLRW background equations, reducing the linear model to general relativity with a shifted Hubble constant.