Pilgrim dark energy in f(T,T G ) cosmology

Chattopadhyay, Surajit; Jawad, Abdul; Momeni, Davood; Myrzakulov, Ratbay

doi:10.1007/s10509-014-2029-1

Cited by 57 publications

(26 citation statements)

References 85 publications

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“…which is the familiar equation (604). In this case, as usual, we deduce that either f T T = 0, in which case we re-obtain TEGR, or T (r) = 0, in which case we acquire k = 0, Q = 0 and f (T ) = T + α √ T , with α an integration constant.…”

Section: Charged Spherically Symmetric Solutionssupporting

confidence: 62%

“…Concerning w DE , we can see that in this example it lies in the quintessence regime. Finally, note that, as it is usual in modified gravity [342], the model at hand can describe the phantom regime too, for a region of the parameter space, which is an additional advantage [589,604]. One could proceed to the investigation of other f (T, T G ) ansatzen, going beyond the simple model (787).…”

Section: Cosmological Behaviormentioning

confidence: 99%

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f(T) teleparallel gravity and cosmology

et al. 2016

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Over the past decades, the role of torsion in gravity has been extensively investigated along the main direction of bringing gravity closer to its gauge formulation and incorporating spin in a geometric description. Here we review various torsional constructions, from teleparallel, to Einstein-Cartan, and metric-affine gauge theories, resulting in extending torsional gravity in the paradigm of f (T ) gravity, where f (T ) is an arbitrary function of the torsion scalar. Based on this theory, we further review the corresponding cosmological and astrophysical applications. In particular, we study cosmological solutions arising from f (T ) gravity, both at the background and perturbation levels, in different eras along the cosmic expansion. The f (T ) gravity construction can provide a theoretical interpretation of the late-time universe acceleration, alternative to a cosmological constant, and it can easily accommodate with the regular thermal expanding history including the radiation and cold dark matter dominated phases. Furthermore, if one traces back to very early times, for a certain class of f (T ) models, a sufficiently long period of inflation can be achieved and hence can be investigated by cosmic microwave background observations, or alternatively, the Big Bang singularity can be avoided at even earlier moments due to the appearance of non-singular bounces. Various observational constraints, especially the bounds coming from the large-scale structure data in the case of f (T ) cosmology, as well as the behavior of gravitational waves, are described in detail. Moreover, the spherically symmetric and black hole solutions of the theory are reviewed. Additionally, we discuss various extensions of the f (T ) paradigm. Finally, we consider the relation with other modified gravitational theories, such as those based on curvature, like f (R) gravity, trying to enlighten the subject of which formulation, or combination of formulations, might be more suitable for quantization ventures and cosmological applications. Contents

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Section: Charged Spherically Symmetric Solutionssupporting

confidence: 62%

Section: Cosmological Behaviormentioning

confidence: 99%

f(T) teleparallel gravity and cosmology

et al. 2016

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“…We can see that first stability condition (15) are always satisfied in expanding universe (H 0 > 0). Second condition (16) has more complicated structure, but it is easy to see that stability of studying point impossible if all derivatives f T , f T T , f T T G , f T G T G have similar sign at this point.…”

Section: Stability Conditionsmentioning

confidence: 78%

“…Cosmology in such kind of theories was studied in the few later works [15][16][17][18][19]. Possible further generalizations of this theory by analogy with Lovelock gravity was proposed in [20].…”

Section: Introductionmentioning

confidence: 99%

Dynamical stability of extended teleparallel gravity

Tretyakov

2016

Mod. Phys. Lett. A

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We discuss modified teleparallel gravity with function f (T, T G ) in the action, where function depend on two arguments: torsion scalar T and analogue of GaussBonnet invariant T G . In contradistinction to usual teleparallel gravity f (T ), this theory contains higher derivative terms, which may produce different instabilities. We discuss Minkowski stability problem in such kind of theories and explicitly demonstrate that for stability must be f T (0, 0) < 0, f T G T G > 0. We apply these restrictions for the few types of functions discussed by the early authors.

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“…Chattopadhyay et al [12] studied pilgrim DE model and reconstructed ( , ) models by assuming flat FRW metric. Jawad et al [13] explored reconstruction scheme in this theory by considering a particular ghost DE model.…”

Section: Introductionmentioning

confidence: 99%

Lorentz Distributed Noncommutative F(T,TG) Wormhole Solutions

Sharif

Nazir

2018

Advances in High Energy Physics

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The aim of this paper is to study static spherically symmetric noncommutative ( , ) wormhole solutions along with Lorentzian distribution. Here, and are torsion scalar and teleparallel equivalent Gauss-Bonnet term, respectively. We take a particular redshift function and two ( , ) models. We analyze the behavior of shape function and also examine null as well as weak energy conditions graphically. It is concluded that there exist realistic wormhole solutions for both models. We also studied the stability of these wormhole solutions through equilibrium condition and found them stable.

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Pilgrim dark energy in f(T,T G ) cosmology

Cited by 57 publications

References 85 publications

f(T) teleparallel gravity and cosmology

f(T) teleparallel gravity and cosmology

Dynamical stability of extended teleparallel gravity

Lorentz Distributed Noncommutative F(T,TG) Wormhole Solutions

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