Growth factor in<i>f</i>(<i>T</i>) gravity

Zheng, Rui; Huang, Qing-Guo

doi:10.1088/1475-7516/2011/03/002

Cited by 219 publications

(184 citation statements)

References 40 publications

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“…As usual, for simplicity we will consider zero anisotropic stress (π S = 0), and in this case equation (4.22) allows us to replace ψ by φ, and thus remaining with only one gravitational perturbative degree of freedom. We transform it in the Fourier space as 23) and therefore ∇ 2 φ = −k 2φ k . Inserting this decomposition into (4.21), and using the other perturbative equations in order to eliminate variables, after some algebra we obtain the following equation of motion for the modes of the gravitational potential φ:…”

Section: Stability Analysismentioning

confidence: 99%

f(T,𝒯) gravity and cosmology

Harkó

Lobo

Otalora

et al. 2014

J. Cosmol. Astropart. Phys.

265

213

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Abstract. We present an extension of f (T ) gravity, allowing for a general coupling of the torsion scalar T with the trace of the matter energy-momentum tensor T . The resulting f (T, T ) theory is a new modified gravity, since it is different from all the existing torsion or curvature based constructions. Applied to a cosmological framework, it leads to interesting phenomenology. In particular, one can obtain a unified description of the initial inflationary phase, the subsequent non-accelerating, matter-dominated expansion, and then the transition to a late-time accelerating phase. Additionally, the effective dark energy sector can be quintessence or phantom-like, or exhibit the phantom-divide crossing during the evolution. Moreover, in the far future the universe results either to a de Sitter exponential expansion, or to eternal power-law accelerated expansions. Finally, a detailed study of the scalar perturbations at the linear level reveals that f (T, T ) cosmology can be free of ghosts and instabilities for a wide class of ansatzes and model parameters.

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Section: Stability Analysismentioning

confidence: 99%

f(T,𝒯) gravity and cosmology

Harkó

Lobo

Otalora

et al. 2014

J. Cosmol. Astropart. Phys.

265

213

View full text Add to dashboard Cite

show abstract

“…Cosmological implications of f (T )-gravity have been extensively studied in the literature (Bengochea & Ferraro 2009;Linder 2010;Bengochea 2011;Miao et al 2011;Yang 2011a,b;Karami & Abdolmaleki 2012. The theory of cosmological perturbations in this scenario has been studied by Dent et al (2011);Chen et al (2011);Zheng & Huang (2011);Izumi & Ong (2013); Cai et al (2011), andRezazadeh et al (2016). Recently, several inflationary models have been investigated in the framework of f (T )-gravity (Nashed & El Hanafy 2014;Jamil et al 2015;El Hanafy & Nashed 2015, 2016Bamba et al 2016;Rezazadeh et al 2016;Wu 2016).…”

Section: Introductionmentioning

confidence: 99%

Logamediate Inflation in f(T) Teleparallel Gravity

Rezazadeh¹,

Abdolmaleki²,

Karami³

2017

ApJ

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We study logamediate inflation in the context of f (T ) teleparallel gravity. f (T )-gravity is a generalization of the teleparallel gravity which is formulated on the Weitzenböck spacetime, characterized by the vanishing curvature tensor (absolute parallelism) and the non-vanishing torsion tensor. We consider an f (T )-gravity model which is sourced by a canonical scalar field. Assuming a power-law f (T ) function in the action, we investigate an inflationary universe with a logamediate scale factor. Our results show that, although logamediate inflation is completely ruled out by observational data in the standard inflationary scenario based on Einstein gravity, it can be compatible with the 68% confidence limit joint region of Planck 2015 TT,TE,EE+lowP data in the framework of f (T )-gravity.

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“…[4][5][6][7][8][9][10][11][12][13][14][15][16][17][18][19][20] which followed the spirit of f (R) gravity (see Ref. [21] for a review) as a generalization of general relativity.…”

Section: Introductionmentioning

confidence: 99%

Generalizations of teleparallel gravity and local Lorentz symmetry

Sotiriou¹,

Li²,

Barrow³

2011

Phys. Rev. D

237

143

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The full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-pro t purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. We analyze the relation between teleparallelism and local Lorentz invariance. We show that generic modifications of the teleparallel equivalent to general relativity will not respect local Lorentz symmetry. We clarify the reasons for this and explain why the situation is different in general relativity. We give a prescription for constructing teleparallel equivalents for known theories. We also explicitly consider a recently proposed class of generalized teleparallel theories, called f (T ) theories of gravity, and show why restoring local Lorentz symmetry in such theories cannot lead to sensible dynamics, even if one gives up teleparallelism.

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Growth factor inf(T) gravity

Cited by 219 publications

References 40 publications

f(T,𝒯) gravity and cosmology

f(T,𝒯) gravity and cosmology

Logamediate Inflation in f(T) Teleparallel Gravity

Generalizations of teleparallel gravity and local Lorentz symmetry

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