Cosmological perturbations in a gravity with quadratic order curvature couplings

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.

5 pages, no figure, To appear in Phys. Rev. D

References in corpus (1)

• Cosmological Vorticity in a Gravity with Quadratic Order Curvature Couplings

Cited by in corpus (11)

• Classical evolution and quantum generation in generalized gravity theories including string corrections and tachyon: Unified analyses
• Second-order Perturbations of the Friedmann World Model
• Cosmological perturbations in a generalized gravity including tachyonic condensation
• Inflationary spectra in generalized gravity: Unified forms
• Conserved cosmological structures in the one-loop superstring effective action
• Stable Isotropic Cosmological Singularities in Quadratic Gravity
• The Stability of an Isotropic Cosmological Singularity in Higher-Order Gravity
• The Possibility of Inflation in Asymptotically Safe Gravity
• Oscillating cosmic evolution and constraints on big bang nucleosynthesis in the extended Starobinsky model
• Testing quantum gravity with primordial gravitational waves
• An exact solution of the higher-order gravity in standard radiation-dominated era