Reconstruction of $f(T)$-gravity in the absence of matter

Hanafy, W. El; Nashed, G. L.

doi:10.48550/arxiv.1410.2467

Cited by 4 publications

(5 citation statements)

References 50 publications

(82 reference statements)

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“…[7-14, 16-20, 38], while inflationary and bouncing scenarios in relation with cosmological perturbation scenarios were studied in Refs. [21][22][23][24][25][26][27]. Moreover, special cosmological solutions where found in Refs.…”

Section: Introductionmentioning

confidence: 90%

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Viability of the intermediate inflation scenario with F(T) gravity

Oikonomou

2017

Phys. Rev. D

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We study the intermediate inflation scenario in the context of F (T ) gravity, and we examine it's viability by calculating the power spectrum of the primordial curvature perturbations and the corresponding spectral index. As we demonstrate, it is possible for the resulting spectral index to be compatible with the observational data and we investigate the parameter space in order to see when the compatibility with data is possible.

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Section: Introductionmentioning

confidence: 90%

“…where 0 < n < 1 and also A > 0. The calculation of the evolution of primordial perturbations in the context of F (T ) gravity, can be found in various texts in the literature [21][22][23][24][25][26], and we adopt the formalism and notation of Ref. [21].…”

Section: Intermediate Inflation and Evolution Of Perturbations Inmentioning

confidence: 99%

Viability of the intermediate inflation scenario with F(T) gravity

Oikonomou

2017

Phys. Rev. D

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“…In the context of F (T ) gravity, it is possible to explain the late-time acceleration of the Universe [146,366,367,370,380,384,[394][395][396][397][398][399][400][401], but there exist also local astrophysical solutions, and various metric solutions, see for example [373,375,379,385,390,402]. Finally for inflationary, bouncing cosmology and perturbation evolution studies, see [368,369,374,381,388,391,[403][404][405].…”

Section: F (T ) Gravitymentioning

confidence: 99%

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

Nojiri,

Odintsov,

Oikonomou

2017

Preprint

192

325

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We 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. Particularly, we present the formalism of standard modified gravity theory representatives, like F (R), F (G) and F (T ) gravity theories, but also several alternative theoretical proposals which appeared in the literature during the last decade. We emphasize on the formalism developed for these theories and we explain how these theories can be considered as viable descriptions for our Universe. Using these theories, we present how a viable inflationary era can be produced in the context of these theories, with the viability being justified if compatibility with the latest observational data is achieved. Also we demonstrate how bouncing cosmologies can actually be described by these theories. Moreover, we systematically discuss several qualitative features of the dark energy era by using the modified gravity formalism, and also we critically discuss how a unified description of inflation with dark energy era can be described by solely using the modified gravity framework. Finally, we also discuss some astrophysical solutions in the context of modified gravity, and several qualitative features of these solutions. The aim of this review is to gather the different modified gravity techniques and form a virtual modified gravity "toolbox", which will contain all the necessary information on inflation, dark energy and bouncing cosmologies in the context of the various forms of modified gravity.

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“…σ 1 et σ 2 are integration constants. Such a model in ( 41) is, according to the literature, the so-called exponential f (T ) model which, for example, can tend to the ΛCDM cosmology [39] or produces an inflationary scene in absence of all matter fields [40]. In large scalar torsion, the model in ( 41) can verify the second differential equation in (40) if the slow-roll condition holds true.…”

Section: C-reconstruction Of Cosmological Vacuum F (T ) Modelsmentioning

confidence: 99%

Cosmological study of autonomous dynamical systems in modified Tele-Parallel gravity

et al. 2019

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Cosmological approaches of autonomous dynamical system in the framework of f (T ) gravity are investigated in this paper. Our methods applied to flat Friedmann-Robertson-Walker equations in f (T ) gravity, consist to extract dynamical systems whose time-dependence is contained in a single parameter m depending on the Hubble rate of Universe and its second derivative. In our attempt to investigate the autonomous aspect of the dynamical systems reconstructed in both vacuum and nonvacuum f (T ) gravities, two values of the parameter m have been considered for our present analysis. In the so-called quasi-de Sitter inflationary era (m ≃ 0), the corresponding autonomous dynamical systems provide stable de Sitter attractors and unstable de Sitter fixed points. Especially in the vacuum f (T ) gravity, the approximate form of the f (T ) gravity near the stable and the unstable de Sitter fixed points has been performed. The matter dominated era case (m = − 9 2 ) leads to unstable fixed points confirming matter dominated era or not, and stable attractor fixed point describing dark energy dominated era. Another subtlety around the stable fixed point obtained at matter dominated case in the non-vacuum f (T ) gravity is when the dark energy dominated era is reached, at the same time, the radiation perfect fluid dominated succumbs.

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Reconstruction of $f(T)$-gravity in the absence of matter

Cited by 4 publications

References 50 publications

Viability of the intermediate inflation scenario with F(T) gravity

Viability of the intermediate inflation scenario with F(T) gravity

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

Cosmological study of autonomous dynamical systems in modified Tele-Parallel gravity

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