CYLINDRICAL SOLUTIONS IN MODIFIED f(T) GRAVITY

Houndjo, M. J. S.; Momeni, Davood; Myrzakulov, Ratbay

doi:10.1142/s0218271812500939

Cited by 55 publications

(40 citation statements)

References 56 publications

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“…This is actually a consequence of the terms (1 + q 0 ) −α , with α = (3, 5, 7) for (f 3 , f 4 , f 5 ) respectively, which appear as common factors in Eqs. (545)- (547). As q 0 comes close to -1, these terms become increasingly large and thus make f n explode.…”

Section: Results Of Observational Constraintsmentioning

confidence: 99%

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: Results Of Observational Constraintsmentioning

confidence: 99%

f(T) teleparallel gravity and cosmology

et al. 2016

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“…Inspired by the f (R) modifications of the Einstein-Hilbert Lagrangian, f (T ) modified gravity has been proposed by extending T to an arbitrary function (Ferraro and Fiorini,2007). Diffrent aspects of the f (T ) has been investigated in the literature (Aslam et al 2013;Bamba et al (2012aBamba et al ( ,2012bBamba et al ( ,2013aBamba et al ( ,2013bBamba et al ( ,2013cBamba et al ( ,2014aBamba et al ( ,2014bBamba et al ( ,2014cBamba et al ( ,2014d; Farooq et al 2013;Houndjo et al (2012Houndjo et al ( , 2013; Jamil et al (2013aJamil et al ( ,2013bJamil et al ( ,2012a; Cai et al 2011;Momeni et al( ,2012; Rodrigues et al (2013aRodrigues et al ( ,2013b; Setare et al 2011) . The simplest modified gravity is obtained by replacing R → f (R),is so called f (R) gravity.…”

Section: Introductionmentioning

confidence: 99%

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

Chattopadhyay¹,

Jawad

Momeni

et al. 2014

Astrophys Space Sci

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“…In this case the system of the equations of motion (11)(12)(13)(14) are integrable in five different classes as follows: Here we propose solutions to this model, i.e, finding solutions to the line element and expressions to the energy density and the pressures. We present the solutions to the line element as…”

Section: Formalism Of F (G) Gravity and Equations Of Motion Within Cymentioning

confidence: 99%

“…In Einstein gravity it exists a wide class of exact solutions with cylindrical symmetry in vacuum and also with cosmological constant and scalar fields [8]. In modified gravity different kinds of exact solutions with cylindrical symmetry have been discussed in the literature, in f(R) [9], Horava-Lifshitz gravity [10], f(T) [11] and etc.…”

Section: Introductionmentioning

confidence: 99%

Exploring cylindrical solutions in modified f(G) gravity

et al. 2014

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We present cylindrically symmetric solutions for a type of the Gauss-Bonnet gravity, in details.We derive the full system of the field equations and show that there exist seven families of exact solutions for three forms of viable models. By applying the method based on the effective fluid energy momentum tensor components, we evaluate the mass per unit length for the solutions. From dynamical point of the view, by evaluating the null energy condition for these configurations, we show that in some cases the azimuthal pressure breaks the energy condition. This violation of the null energy condition predicts the existence of a cylindrical wormhole.

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CYLINDRICAL SOLUTIONS IN MODIFIED f(T) GRAVITY

Cited by 55 publications

References 56 publications

f(T) teleparallel gravity and cosmology

f(T) teleparallel gravity and cosmology

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

Exploring cylindrical solutions in modified f(G) gravity

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