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Inflation and dark energy from $f(R)$ gravity

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TLDR
In this article, the Starobinsky inflation was extended to the R + α Rn - β R2-n model to obtain a stable minimum of the Einstein frame scalar potential of the auxiliary field.
Abstract
The standard Starobinsky inflation has been extended to the R + α Rn - β R2-n model to obtain a stable minimum of the Einstein frame scalar potential of the auxiliary field. As a result we have obtained obtain a scalar potential with non-zero value of residual vacuum energy, which may be a source of Dark Energy. Our results can be easily consistent with PLANCK or BICEP2 data for appropriate choices of the value of n.

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Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution

TL;DR: In this paper, the authors systematically review some standard issues and also the latest developments of modified gravity in cosmology, emphasizing on inflation, bouncing cosmology and late-time acceleration era.
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Unifying holographic inflation with holographic dark energy: A covariant approach

TL;DR: In this article, the authors use the holographic approach to describe the early-time acceleration and the late time acceleration eras of our universe in a unified manner, and the corresponding holographic cutoffs are determined in terms of the particle horizon and its derivatives.
Journal ArticleDOI

Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution

TL;DR: In this paper, the authors systematically review some standard issues and also the latest developments of modified gravity in cosmology, emphasizing on inflation, bouncing cosmology and late-time acceleration era.
Journal ArticleDOI

F(R) gravity's rainbow and its Einstein counterpart

TL;DR: In this paper, the authors introduced charged black hole solutions with power Maxwell invariant source in the context of gravity's rainbow and investigated two classes of gravity’s rainbow solutions, without energy-momentum tensor and with conformally invariant Maxwell source.
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Singular F(R) cosmology unifying early- and late-time acceleration with matter and radiation domination era

TL;DR: In this paper, a cosmological model is presented which unifies the late and early-time acceleration with the matter domination era, and the second model unifies all the evolution eras of our universe.
References
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Journal ArticleDOI

Planck 2013 results. XVI. Cosmological parameters

Peter A. R. Ade, +327 more
TL;DR: In this paper, the authors present the first cosmological results based on Planck measurements of the cosmic microwave background (CMB) temperature and lensing-potential power spectra, which are extremely well described by the standard spatially-flat six-parameter ΛCDM cosmology with a power-law spectrum of adiabatic scalar perturbations.
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A new type of isotropic cosmological models without singularity

TL;DR: In this paper, the Einstein equations with quantum one-loop contributions of conformally covariant matter fields are shown to admit a class of nonsingular isotropic homogeneous solutions that correspond to a picture of the universe being initially in the most symmetric (de Sitter) state.
Journal ArticleDOI

Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology

TL;DR: In this article, a simple cosmological model with only six parameters (matter density, Omega_m h^2, baryon density, BH 2, Hubble Constant, H_0, amplitude of fluctuations, sigma_8, optical depth, tau, and a slope for the scalar perturbation spectrum, n_s) was proposed to fit the three-year WMAP temperature and polarization data.
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Dynamics of dark energy

TL;DR: In this article, the authors review the observational evidence for the current accelerated expansion of the universe and present a number of dark energy models in addition to the conventional cosmological constant, paying particular attention to scalar field models such as quintessence, K-essence and tachyon.
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