<i>f</i>
                    (
                    <i>R</i>
                    ) gravity with torsion: the metric-affine approach

Capozziello, Salvatore; Cianci, Roberto; Stornaiolo, Cosimo; Vignolo, Stefano

doi:10.1088/0264-9381/24/24/015

Cited by 106 publications

(185 citation statements)

References 76 publications

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“…A famous example is the Poincaré gauge theory of Gravity [30][31][32][33][34][35][36][37]. Some works have been done to develop a model of geometric dark energy in the Poincaré gauge theory framework [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56]. In [38][39][40][41][42][43] the effect of torsion is to introduce an extra-term into matter density and pressure which gives rise to an accelerated behavior of the universe.…”

Section: Jhep05(2016)024mentioning

confidence: 99%

“…Some works have been done to develop a model of geometric dark energy in the Poincaré gauge theory framework [38][39][40][41][42][43][44][45][46][47][48][49][50][51][52][53][54][55][56]. In [38][39][40][41][42][43] the effect of torsion is to introduce an extra-term into matter density and pressure which gives rise to an accelerated behavior of the universe. However, the torsion contributes only a constant density, it is not possible to solve the coincidence and fine tuning problem.…”

Section: Jhep05(2016)024mentioning

confidence: 99%

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Cosmology in Poincaré gauge gravity with a pseudoscalar torsion

Chee

2016

J. High Energ. Phys.

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A cosmology of Poincaré gauge theory is developed, where several properties of universe corresponding to the cosmological equations with the pseudoscalar torsion function are investigated. The cosmological constant is found to be the intrinsic torsion and curvature of the vacuum universe and is derived from the theory naturally rather than added artificially, i.e. the dark energy originates from geometry and includes the cosmological constant but differs from it. The cosmological constant puzzle, the coincidence and fine tuning problem are relieved naturally at the same time. By solving the cosmological equations, the analytic cosmological solution is obtained and can be compared with the ΛCDM model. In addition, the expressions of density parameters of the matter and the geometric dark energy are derived, and it is shown that the evolution of state equations for the geometric dark energy agrees with the current observational data. At last, the full equations of linear cosmological perturbations and the solutions are obtained.

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Section: Jhep05(2016)024mentioning

confidence: 99%

Section: Jhep05(2016)024mentioning

confidence: 99%

Cosmology in Poincaré gauge gravity with a pseudoscalar torsion

Chee

2016

J. High Energ. Phys.

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“…28,31,32 A completely antisymmetric torsion can have its source in the closed string massless Kalb-Ramond mode, 33,34 with interesting implications in cosmology and astrophysics. [35][36][37][38][39][40][41][42][43][44] Among other torsion scenarios of interest in the cosmological context, most notable are those based on the teleparallel f (T ) theories, 45 extended gravity theories, 46 Poincaré gauge theory of gravity, [47][48][49] etc. We in this paper turn our attention to the formalism of a metric-scalar-torsion (MST) theory developed in an earlier work (henceforth 'paper I').…”

Section: Introductionmentioning

confidence: 99%

Dynamical system analysis of dark energy models in scalar coupled Metric-Torsion theories

Bhatia

Sur

2017

Int. J. Mod. Phys. D

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We study the phase space dynamics of cosmological models in the theoretical formulations of non-minimal metric-torsion couplings with a scalar field, and investigate in particular the critical points which yield stable solutions exhibiting cosmic acceleration driven by the dark energy. The latter is so defined that it effectively has no direct interaction with the cosmological fluid, although in an equivalent scalar-tensor cosmological setup the scalar field interacts with the fluid (which we consider to be the pressureless dust). Determining the conditions for the existence of the stable critical points we check their physical viability in both Einstein and Jordan frames. We also verify that in either of these frames, the evolution of the universe at the corresponding stable points matches with that given by the respective exact solutions we have found in an earlier work (arXiv:1611.00654 [gr-qc]). We not only examine the regions of physical relevance in the phase space when the coupling parameter is varied, but also demonstrate the evolution profiles of the cosmological parameters of interest along fiducial trajectories in the effectively non-interacting scenarios, in both Einstein and Jordan frames.

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“…The present late-time cosmic acceleration of the universe can be explained by f (R) gravity [13]. Viable cosmological models have been found in [14,15,16,17,18,19,20,21,22,23,24,25,26,27,28,29,30,31,32,33,34,35] under some conditions, and weak field constraints obtained from the classical tests of general relativity for the solar system regime seem to rule out most of the models so far [36,37,38,39,40,41,42]. Other interesting class of modified gravity models which can easily reproduce the late-time acceleration epoch is stringinspired modified Gauss-Bonnet gravity, so called f (G) gravity [43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59,…”

Section: Introductionmentioning

confidence: 99%

RECONSTRUCTION OF f(R, T) GRAVITY DESCRIBING MATTER DOMINATED AND ACCELERATED PHASES

Houndjo

2012

Int. J. Mod. Phys. D

378

184

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We investigate the cosmological reconstruction in modified f (R, T ) gravity, where R is the Ricci scalar and T the trace of the stress-energy tensor. Special attention is attached to the case in which the function f is given by f (R, T ) = f1(R) + f2(T ). The use of auxiliary scalar field is considered with two known examples for the scale factor corresponding to an expanding universe. In the first example, where ordinary matter is usually neglected for obtaining the unification of matter dominated and accelerated phases with f (R)gravity, it is shown in this paper that this unification can be obtained without neglect ordinary matter. In the second example, as in f (R)gravity, model of f (R, T ) gravity with transition of matter dominated phase to the acceleration phase is obtained. In both cases, linear function of the trace is assumed for f2(T ) and it is obtained that f1(R) is proportional to a power of R with exponents depending on the input parameters.Pacs numbers: 98.80.-k, 95.36.+x, 11.25.-w

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f ( R ) gravity with torsion: the metric-affine approach

Cited by 106 publications

References 76 publications

Cosmology in Poincaré gauge gravity with a pseudoscalar torsion

Cosmology in Poincaré gauge gravity with a pseudoscalar torsion

Dynamical system analysis of dark energy models in scalar coupled Metric-Torsion theories

RECONSTRUCTION OF f(R, T) GRAVITY DESCRIBING MATTER DOMINATED AND ACCELERATED PHASES

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