Reconstruction of f(R) models with Scale-invariant Power Spectrum

Abstract

Following our previous work in [JCAP 1206, 041 (2012)], in this paper, we continue our study of reconstructing $f(R)$ modified gravity models that can be connected to a single scalar field in general relativity via conformal transformation, which lead to scale-invariant power spectrum in the early universe. With $f(R)$ modified gravity, one does not need to introduce extra scalar, the nature of which are to be explained. Different from general nonminimal coupling theory, the behavior of the $f(R)$ theory has been fixed by its counterpart in Einstein frame, and thus have one to one correspondence. Numerical plots of the functional form of $f(R)$ as well as the evolution of $R$ in terms of cosmic time $t$ are also presented.

8 pages, 4 figures, 1 table

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Cited by in corpus (13)

• Bounce cosmology from $F(R)$ gravity and $F(R)$ bigravity
• Towards Anisotropy-Free and Non-Singular Bounce Cosmology with Scale-invariant Perturbations
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Reconstruction of Scalar Potentials in Modified Gravity Models
• Curvaton with nonminimal derivative coupling to gravity
• On the Trans-Planckian Censorship Conjecture and the Generalized Non-Minimal Coupling
• Perturbations of Single-field Inflation in Modified Gravity Theory
• A note on the dynamical system formulations in $f(R)$ gravity
• A numerical approach to model independently reconstruct $f(R)$ functions through cosmographic data
• Interpreting Pulsar Timing Array data of Gravitational Waves with Ekpyrosis-Bouncing Cosmology
• $f(R)$ Dual Theories of Quintessence : Expansion-Collapse Duality
• Towards degeneracy breaking of early universe models
• Adiabatic Duality: Duality of cosmological models with varying slow-roll parameter and sound speed