Cosmological perturbations in a gravity with quadratic order curvature couplings

H. Noh; J. Hwang

Cosmological perturbations in a gravity with quadratic order curvature couplings

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arxiv gr-qc/9811013 v1 pith:7ORQEBKG submitted 1998-11-04 gr-qc astro-ph

H. Noh , J. Hwang This is my paper · ORCID

classification gr-qcastro-ph

keywords cosmologicalcurvaturedescribingequationsgaugegravityorderquadratic

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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
gr-qc 2025-01 conditional novelty 6.0 of 10

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.

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