Trace-anomaly driven inflation in f(T) gravity with a cosmological constant

Güdekli, Ertan; Myrzakulov, N.; Yerzhanov, Koblandy; Myrzakulov, Ratbay

doi:10.1007/s10509-015-2269-8

Cited by 12 publications

(5 citation statements)

References 81 publications

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“…Concerning the tensor equation (359), although there is a new friction term, there are no new mass terms, which is a behavior similar to the scalar case of the previous paragraph. Therefore, we can safely conclude that, in general, f (T ) theories do not introduce massive gravitons.…”

Section: Vector and Tensor Perturbationssupporting

confidence: 54%

“…Therefore, a period of inflation at early times can also be allowed in this method. The reconstruction of a suitable f (T ) theory, that can describe the early universe inflation as well as late-time acceleration, was studied in detail in [284] (see also [355][356][357][358][359][360][361][362]). However, the authors of that paper did not address the cosmic perturbations and hence it remains unclear how these type of gravity models can explain the CMB and LSS observations in a consistent way.…”

Section: Inflation From F (T ) Gravity and Primordial Perturbationsmentioning

confidence: 99%

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f(T) teleparallel gravity and cosmology

Cai,

Capozziello,

De Laurentis

et al. 2015

Preprint

131

193

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Section: Vector and Tensor Perturbationssupporting

confidence: 54%

Section: Inflation From F (T ) Gravity and Primordial Perturbationsmentioning

confidence: 99%

f(T) teleparallel gravity and cosmology

Cai,

Capozziello,

De Laurentis

et al. 2015

Preprint

131

193

View full text Add to dashboard Cite

show abstract

“…Therefore, a period of inflation at early times can also be allowed in this method. The reconstruction of a suitable f (T ) theory, that can describe the early universe inflation as well as late-time acceleration, was studied in detail in [282] (see also [353][354][355][356][357][358][359][360]). However, the authors of that paper did not address the cosmic perturbations and hence it remains unclear how these types of gravity models can explain the CMB and LSS observations in a consistent way.…”

Section: Inflation From F (T ) Gravity and Primordial Perturba-mentioning

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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“…As a generalization of these two ways of describing the universe, the model of the F(R, T) modified theory-Myrzakulov gravity [12,13] was used. Here, the Lagrangian is a function of two variables, such as the Ricci scalar and torsion scalar [14][15][16]. In this paper, we will try to consider the most generalized model, which would include in an arbitrary form F(R, T, X, φ) both Myrzakulov's gravity and a scalar field in the form of k-essence.…”

Section: Introductionmentioning

confidence: 99%

Inflation from the Symmetry of the Generalized Cosmological Model

et al. 2021

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It is shown that the inflationary model is the result of the symmetry of the generalized F(R,T,X,φ)-cosmological model using the Noether symmetry. It leads to a solution, a particular case of which is Starobinsky’s cosmological model. It is shown that even in the more particular case of cosmological models F(R,X,φ) and F(T,X,φ) the Monge–Ampère equation is still obtained, one of the solutions including the Starobinsky model. For these models, it is shown that one can obtain both power-law and exponential solutions for the scale factor from the Euler–Lagrange equations. In this case, the scalar field φ has similar time dependences, exponential and exponential. The resulting form of the Lagrangian of the model allows us to consider it as a model with R2 or X2. However, it is also shown that previously less studied models with a non-minimal relationship between R and X are important, as one of the possible models. It is shown that in this case the power-law model can have a limited evolutionary period with a negative value of the kinetic term.

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Trace-anomaly driven inflation in f(T) gravity with a cosmological constant

Cited by 12 publications

References 81 publications

f(T) teleparallel gravity and cosmology

f(T) teleparallel gravity and cosmology

f(T) teleparallel gravity and cosmology

Inflation from the Symmetry of the Generalized Cosmological Model

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