Updated f(T) gravity constraints from high-redshift cosmography

Piedipalumbo, Ester; Moglie, E. Della; Cianci, Roberto

doi:10.1142/s021827181550100x

Cited by 15 publications

(8 citation statements)

References 31 publications

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“…Using the relation z = a −1 − 1 and Eq. ( 1), one finds the Taylor series expansion of the luminosity distance as function of the redshift [26][27][28][29]:…”

Section: The Cosmographic Approachmentioning

confidence: 99%

Cosmographic analysis with Chebyshev polynomials

Capozziello

D’Agostino

Luongo

2018

Monthly Notices of the Royal Astronomical Society

130

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The limits of standard cosmography are here revised addressing the problem of error propagation during statistical analyses. To do so, we propose the use of Chebyshev polynomials to parameterize cosmic distances. In particular, we demonstrate that building up rational Chebyshev polynomials significantly reduces error propagations with respect to standard Taylor series. This technique provides unbiased estimations of the cosmographic parameters and performs significatively better than previous numerical approximations. To figure this out, we compare rational Chebyshev polynomials with Padé series. In addition, we theoretically evaluate the convergence radius of (1,1) Chebyshev rational polynomial and we compare it with the convergence radii of Taylor and Padé approximations. We thus focus on regions in which convergence of Chebyshev rational functions is better than standard approaches. With this recipe, as high-redshift data are employed, rational Chebyshev polynomials remain highly stable and enable one to derive highly accurate analytical approximations of Hubble's rate in terms of the cosmographic series. Finally, we check our theoretical predictions by setting bounds on cosmographic parameters through Monte Carlo integration techniques, based on the Metropolis-Hastings algorithm. We apply our technique to high-redshift cosmic data, using the JLA supernovae sample and the most recent versions of Hubble parameter and baryon acoustic oscillation measurements. We find that cosmography with Taylor series fails to be predictive with the aforementioned data sets, while turns out to be much more stable using the Chebyshev approach.

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“…Using the relation z = a −1 − 1 and Eq. ( 1), one finds the Taylor series expansion of the luminosity distance as function of the redshift [26][27][28][29]:…”

Section: The Cosmographic Approachmentioning

confidence: 99%

Cosmographic analysis with Chebyshev polynomials

Capozziello

D’Agostino

Luongo

2018

Monthly Notices of the Royal Astronomical Society

130

View full text Add to dashboard Cite

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“…Starting from the Hubble parameter, it is possible to express the luminosity distance as a redshift polynomial in term of cosmographic quantities as [51,69,[71][72][73][74]…”

Section: The Cosmographic Approachmentioning

confidence: 99%

Tracing the cosmic history by Gauss-Bonnet gravity

de Martino,

De Laurentis,

Capozziello

2020

Preprint

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Cosmic history can be traced considering further curvature contributions inside the gravitational action. Assuming that standard General Relativity can be extended by other curvature invariants, we discuss the possibility that an action containing higher-order curvature terms can fit, in principle, the whole universe evolution. In particular, a theory like F (R, G), with R the Ricci scalar and G the Gauss-Bonnet topological term, contains all the curvature invariants that, depending on the energy regime, can address inflation, matter dominated and dark energy regimes. In this paper, we investigate this possibility considering how F (R, G) models can lead gravity from ultraviolet to infrared scales. Specifically, we will take into account a cosmographic approach for this purpose.

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“…Cosmography has already been developed to Extended Gravity Theories, particularly to the f (R) gravity [83]- [88] (the last of these references was actually applied to an f (R)-brane cosmology) and f (T ) gravity [89,90]. For a review of these approaches, check [91].…”

Section: Introductionmentioning

confidence: 99%

Cosmography of the f(R,T) gravity theory

Farias,

Moraes

2021

Preprint

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Currently, in order to explain the accelerated expansion phase of the universe, several alternative approaches have been proposed, among which the most common are dark energy models and alternative theories of gravity. Although these approaches rest on very different physical aspects, it has been shown that both are in agreement with the data in the current status of cosmological observations, thus leading to an enormous degeneration between these models. So until evidences of higher experimental accuracy are available, more conservative model independent approaches are a useful tool for breaking this degenerated cosmological models picture. Cosmography as a kinematic study of the universe is the most popular candidate on this regard. Here we show how to construct the cosmographic equations for the f (R, T ) theory of gravity within a conservative scenario of this theory, where R is the Ricci curvature scalar and T is the trace of the energy-moment tensor. Such equations relate f (R, T ) and its derivatives at the current time t 0 to the cosmographic parameters q 0 , j 0 and s 0 . In addition, we show how these equations can be written within different dark energy scenarios, thus helping to discriminate between them. We also show how different f (R, T ) gravity models can be constrained using these cosmographic equations.

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Updated f(T) gravity constraints from high-redshift cosmography

Cited by 15 publications

References 31 publications

Cosmographic analysis with Chebyshev polynomials

Cosmographic analysis with Chebyshev polynomials

Tracing the cosmic history by Gauss-Bonnet gravity

Cosmography of the f(R,T) gravity theory

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