2021
DOI: 10.1140/epjc/s10052-021-09134-4
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1 + 3 covariant perturbations in power-law f(R) gravity

Abstract: We applied the 1+3 covariant approach around the Friedmann–Lemaître–Robertson–Walker (FLRW) background, together with the equivalence between f(R) gravity and scalar-tensor theory to study cosmological perturbations. We defined the gradient variables in the 1 + 3 covariant approach which we used to derive a set of evolution equations. Harmonic decomposition was applied to partial differential equations to obtain ordinary differential equations used to analyse the behavior of the perturbation quantities. We foc… Show more

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Cited by 3 publications
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“…Over recent years, much progress has been made on inflationary parameters, however, there seems to be one definition of the scalar field φ = ln(f ) that has not been explored for the same purpose. In the current paper, we considered this way of defining the scalar field based on our previous work [45] and compute two inflationary parameters (spectral index n s and tensor-toscalar ratio r) and compare them with Planck survey results.…”
Section: Introductionmentioning
confidence: 99%
“…Over recent years, much progress has been made on inflationary parameters, however, there seems to be one definition of the scalar field φ = ln(f ) that has not been explored for the same purpose. In the current paper, we considered this way of defining the scalar field based on our previous work [45] and compute two inflationary parameters (spectral index n s and tensor-toscalar ratio r) and compare them with Planck survey results.…”
Section: Introductionmentioning
confidence: 99%