Cosmological perturbations in a gravity with quadratic order curvature couplings
H. Noh, J. Hwang
TL;DR
This paper derives gauge-ready equations for scalar cosmological perturbations in a gravity theory with quadratic curvature couplings, including a fourth-order differential equation from Ricci-squared terms, facilitating various gauge choices.
Contribution
It provides a comprehensive set of gauge-ready equations for scalar perturbations in quadratic curvature gravity, including the derivation of a fourth-order differential equation from Ricci-squared terms.
Findings
Derived gauge-ready perturbation equations for quadratic curvature gravity.
Presented a fourth-order differential equation for spacetime fluctuations.
Facilitated implementation of various gauge conditions.
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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