Spotting deviations from<i>R</i><sup>2</sup>inflation

Cruz-Dombriz, Álvaro de la; Elizalde, E.; Odintsov, Sergei D.; Sáez-Gómez, Diego

doi:10.1088/1475-7516/2016/05/060

Cited by 48 publications

(32 citation statements)

References 196 publications

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“…In addition, R 2 inflation has also been studied at the end of the paper, where a logarithmic correction is also considered. Such type of analysis provides a way for testing deviations from R 2 inflation, which is considered nowadays as one of the best models that satisfies the constraints on the growth of scalar and tensor perturbations during inflation, such that any correction to R 2 model may provide information about how far one can go away, specially for the incoming data in the future [40]. Hence, we have analysed the inclusion of a logarithmic correction, which essentially recovers the R 2 predictions for the appropriate limits.…”

Section: Discussionmentioning

confidence: 99%

Testing logarithmic corrections to R2 -exponential gravity by observational data

2019

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Tver state university 170002, Sadovyj per. 35, Tver, Russia This paper is devoted to the analysis of a class of F (R) gravity, where additional logarithmic corrections are assumed. The gravitational action includes an exponential term and a R 2 inflationary term, both with logarithmic corrections. This model can unify an early time inflationary era and also the late time acceleration of the universe expansion. This model is deeply analysed, confronting with recent observational data coming from the largest Pantheon Type Ia supernovae sample, the latest measurements of the Hubble parameter H(z), manifestations of Baryon Acoustic Oscillations and Cosmic Microwave Background radiation. The viability of the model is studied and the corresponding constraints on the free parameters are obtained, leading to an statistical analysis in comparison to ΛCDM model. The inflationary era is also analysed within this model and its compatibility with the latest observational data for the spectral index of primordial curvature perturbations and the scalar-to-tensor ratio. Finally, possible corrections on the Newton's law and constraints due to primordial nucleosynthesis are analysed.

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Section: Discussionmentioning

confidence: 99%

Testing logarithmic corrections to R2 -exponential gravity by observational data

2019

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“…The gravitational part of the action may be assumed to be generated by an auxiliary scalar field χ [7,8,9], so that in this context F (R, φ) = F (χ, φ). Without losing generality, if we work in arbitrary D dimension space-time, the associated gravitational action term…”

Section: Introductionmentioning

confidence: 99%

Inflation due to non-minimal coupling of f(R) gravity to a scalar field

Budhi

2019

J. Phys.: Conf. Ser.

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In this work we investigate a inflationary scenario generated by a large scalar field φ that non-minimally couples to a f (R) modified gravity model. For a Starobinsky's like model, it is found that along a particular flat direction, the scalar potential takes a simpleis a non-minimal coupling to Ricci scalar R in the model. The inflation, therefore, is effectively represented as a single field inflaton scenario. For a specific example, such as a scalar potential V (φ) = µ 1 φ 2 + µ 2 φ 4 , we found that the predictions match nicely in the 1σ confidence level of Plank TT, TE, EE+lowP combination data of Planck 2015 CMB data for 0 < µ 3 ≤ 100, where µ 3 := |µ 1 |/(µ 2 M 2 p ). For example, taking µ 3 = 0.01 the scalar-to-tensor ratio r = 0.0004 and and spectral index n s = 0.96985 for N * = 50 while taking µ 3 = 100.0 produces r = 0.03 and n s = 0.96359 for N

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“…Higher departures with our results may be found in the framework of the f (R) reconstructions. In particular, the functional form of f (R) has been showed to be much more complicated in the metric formalism with respect to Palatini [70,71]. This may be due to the fact that here field equations are second order differential equations.…”

Section: Comparisons With Previous Findingsmentioning

confidence: 99%

Kinematic model-independent reconstruction of Palatini f(R) cosmology

2018

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1 Although very successful in accounting for all the major cosmological observables, the ΛCDM model is plagued by fundamental This fact pushes cosmologists to explore alternative interpretations for the accelerated scenario. For instance, plausible landscapes include dynamical dark energy with evolving scalar fields [15][16][17] or evolving equation of state [18][19][20], attempts to unify dark matter and dark energy into a single fluid [21,22], and higher-dimensions braneworld models [23,24].An alternative view is to modify GR on cosmological scales. This turns out to explain the late-time acceleration without the need of dark energy. One of the most studied extensions of GR is represented by f (R) gravity [25][26][27], generalizing the Einstein-Hilbert action with higher-order curvature terms in the Lagrangian. Many theoretical studies carried out so far have focused on the cosmological viability of such theories [28][29][30][31]. Also, from the observational point of view, the viability of these models has been tested by means of several cosmological data surveys [32][33][34][35][36][37][38].Standard approaches toward the study of f (R) paradigms postulate the f (R) functions [39][40][41][42]. This approach is plagued by the fact that f (R) is assumed a priori without relying on first principles. For these reasons, we here implement the inverse procedure, i.e. we start issues, such as the coincidence problem [13] and the fine-tuning problem [14].

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Spotting deviations fromR²inflation

Cited by 48 publications

References 196 publications

Testing logarithmic corrections to R2 -exponential gravity by observational data

Testing logarithmic corrections to R2 -exponential gravity by observational data

Inflation due to non-minimal coupling of f(R) gravity to a scalar field

Kinematic model-independent reconstruction of Palatini f(R) cosmology

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Spotting deviations fromR2inflation

Cited by 48 publications

References 196 publications

Testing logarithmic corrections to R2 -exponential gravity by observational data

Testing logarithmic corrections to R2 -exponential gravity by observational data

Inflation due to non-minimal coupling of f(R) gravity to a scalar field

Kinematic model-independent reconstruction of Palatini f(R) cosmology

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Spotting deviations fromR²inflation