Large scale structure constraints for a class of<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>f</mml:mi><mml:mo stretchy="false">(</mml:mo><mml:mi>R</mml:mi><mml:mo stretchy="false">)</mml:mo></mml:math>theories of gravity

Abebe, Amare; Cruz-Dombriz, Álvaro de la; Dunsby, Peter K. S.

doi:10.1103/physrevd.88.044050

Cited by 60 publications

(60 citation statements)

References 140 publications

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“…On the other hand, G eff also appears in our analysis via the differential equation for the growth rate given by Eq. (20), thus it at least enters the analysis from there.…”

Section: Constraints On F (R) Modelsmentioning

confidence: 99%

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Cosmological constraints and comparison of viable f(R) models

Pérez-Romero

Nesseris

2018

Phys. Rev. D

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In this paper we present cosmological constraints on several well-known f (R) models, but also on a new class of models that are variants of the Hu-Sawicki one of the form f (R) = R− 2Λ 1+b y (R,Λ) , that interpolate between the cosmological constant model and a matter dominated universe for different values of the parameter b, which is usually expected to be small for viable models and which in practice measures the deviation from General Relativity. We use the latest growth rate, Cosmic Microwave Background, Baryon Acoustic Oscillations, Supernovae type Ia and Hubble parameter data to place stringent constraints on the models and to compare them to the cosmological constant model but also other viable f (R) models such as the Starobinsky or the degenerate hypergeometric models. We find that these kinds of Hu-Sawicki variant parameterizations are in general compatible with the currently available data and can provide useful toy models to explore the available functional space of f (R) models, something very useful with the current and upcoming surveys that will test deviations from General Relativity.PACS numbers: 95.36.+x, 04.50.Kd, 98.80.Es

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“…On the other hand, G eff also appears in our analysis via the differential equation for the growth rate given by Eq. (20), thus it at least enters the analysis from there.…”

Section: Constraints On F (R) Modelsmentioning

confidence: 99%

“…[17,18], while somewhat older cosmological constraints on some of these theories can be found in Refs. [19][20][21][22], and some very interesting methods to reconstruct f (R) models from observations can be seen in Refs. [23,24] .…”

Section: Introductionmentioning

confidence: 99%

Cosmological constraints and comparison of viable f(R) models

Pérez-Romero

Nesseris

2018

Phys. Rev. D

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“…They report data of the growth rate f at low redshift or its combination with the rms matter fluctuations at 8h −1 Mpc (σ 8 ) and the matter power spectrum for a large range of k. We can use them to test the concordance cosmology model ΛCDM and modified gravity theories such as f (R) [51][52][53][54][55][56]. Furthermore, WMAP and Planck spacecraft provide us accurate data of the anisotropy of CMB, which can also be used to constrain different gravity models.…”

Section: Observationsmentioning

confidence: 99%

Large scale structure formation in Eddington-inspired Born-Infeld gravity

2014

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We study the large scale structure formation in Eddington-inspired Born-Infeld (EiBI) gravity. It is found that the linear growth of scalar perturbations in EiBI gravity deviates from that in general relativity for modes with large wave numbers (k), but the deviation is largely suppressed with the expansion of the Universe. We investigate the integrated Sachs-Wolfe effect in EiBI gravity, and find that its effect on the angular power spectrum of the anisotropy of the cosmic microwave background (CMB) is almost the same as that in the Lambda-cold dark matter (ΛCDM) model. We further calculate the linear matter power spectrum in EiBI gravity and compare it with that in the ΛCDM model. Deviation is found on small scales (k 0.1h Mpc −1 ), which can be tested in the future by observations from galaxy surveys.

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“…Anyhow, f (R) theories have remained a paradigmatic example of extended theories of gravity (c.f. [9,10,[60][61][62][63][64][65] for extensive reviews and citations therein) capable of avoiding several classes of instabilities, providing inflationary mechanisms [54,[66][67][68][69][70][71][72], accounting for the dark matter component [73,74], ensuring the correct growth of large-scale structures [75][76][77][78] and passing a multitude of tests in several astrophysical scales [79][80][81][82][83][84][85][86]. Some cosmographic studies were made in the context of f (R) theories [21,87] although the present cosmological values of the first and second derivatives of the gravitational Lagrangian were therein fixed to their GR counterparts.…”

Section: Introductionmentioning

confidence: 99%

Model-independent limits and constraints on extended theories of gravity from cosmic reconstruction techniques

Cruz-Dombriz

Dunsby

Luongo

et al. 2016

J. Cosmol. Astropart. Phys.

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Abstract. The onset of dark energy domination depends on the particular gravitational theory driving the cosmic evolution. Model independent techniques are crucial to test the both the present ΛCDM cosmological paradigm and alternative theories, making the least possible number of assumptions about the Universe. In this paper we investigate whether cosmography is able to distinguish between different gravitational theories, by determining bounds on model parameters for three different extensions of General Relativity, namely quintessence, F (T ) and f (R) gravitational theories. We expand each class of theories in powers of redshift z around the present time, making no additional assumptions. This procedure is an extension of previous work and can be seen as the most general approach for testing extended theories of gravity through the use of cosmography. In the case of F (T ) and f (R) theories, we show that some assumptions on model parameters often made in previous works are superfluous or even unjustified.We use data from the Union 2.1 supernovae catalogue, baryonic acoustic oscillation data and H(z) differential age compilations, which probe cosmology on different scales of the cosmological evolution. We perform a Monte Carlo analysis using a Metropolis-Hastings algorithm with a Gelman-Rubin convergence criterion, reporting 1-σ and 2-σ confidence levels. To do so, we perform two distinct fits, assuming only data within z < 1 first and then without limitations in redshift. We obtain the corresponding numerical intervals in which coefficients span, and find that the data is compatible the ΛCDM limit of all three theories at the 1-σ level, while still compatible with quite a large portion of parameter space. We compare our results to the truncated ΛCDM paradigm, demonstrating that our bounds divert from the expectations of previous works, showing that the permitted regions of coefficients are significantly modified and in general widened with respect to values usually reported in the existing literature. Finally, we test the extended theories through the Bayesian selection criteria AIC and BIC.ArXiv ePrint: 1608.03746

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Large scale structure constraints for a class off(R)theories of gravity

Cited by 60 publications

References 140 publications

Cosmological constraints and comparison of viable f(R) models

Cosmological constraints and comparison of viable f(R) models

Large scale structure formation in Eddington-inspired Born-Infeld gravity

Model-independent limits and constraints on extended theories of gravity from cosmic reconstruction techniques

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