Action functional of the Cardassian universe

Zhai, Xiang-Hua; Lin, Rui-Hui; Feng, Chao-Jun; Li, Xinzhou

doi:10.1103/physrevd.95.104030

Cited by 4 publications

(2 citation statements)

References 53 publications

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“…Under the framework of Teleparallelism, further extensions to f (T ) gravities have also been proposed, such as f (T, T ) gravities [21][22][23], where T is the trace of the matter energy-momentum tensor T µν , and f (T, T G ) theories [24][25][26][27][28], where T G is the teleparallel equivalence of the Gauss-Bonnet term. One of these extensions is the non-minimal torsion-matter coupling f (T ) gravity [29][30][31][32], in which we investigated the evolution of the Universe [31] and the Solar system tests [32] for realistic models.…”

Section: Introductionmentioning

confidence: 99%

Diagnostics for generalized power-law torsion-matter coupling $f(T)$ model

Zhai¹,

Wen²,

Lin³

et al. 2018

Preprint

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The currently accelerated expansion of our Universe is unarguably one of the most intriguing problems in today's physics research. Two realistic nonminimal torsion-matter coupling f (T ) models have been established and studied in our previous papers [Phys. Rev. D92, 104038(2015) and Eur. Phys. J. C77, 504(2017)] aiming to explain this "dark energy" problem. In this paper, we study the generalized power-law torsion-matter coupling f (T ) model. Dynamical system analysis shows that the three expansion phases of the Universe, i.e. the radiation dominated era, the matter dominated era and the dark energy dominated era, can all be reproduced in this generalized model. By using the statefinder and Om diagnostics, we find that the different cases of the model can be distinguished from each other and from other dark energy models such as the two models in our previous papers, ΛCDM, quintessence and Chaplygin gas. Furthermore, the analyses also show that all kinds of generalized power-law torsion-matter coupling model are able to cross the w = −1 divide from below to above, thus the decrease of the energy density resulting from the crossing of w will make the catastrophic fate of the Universe avoided and a de Sitter expansion fate in the future will be approached.

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Section: Introductionmentioning

confidence: 99%

Diagnostics for generalized power-law torsion-matter coupling $f(T)$ model

Zhai¹,

Wen²,

Lin³

et al. 2018

Preprint

Self Cite

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show abstract

“…If we take the matter Lagrangian density to be L m = ε [30,[50][51][52][53], then as discussed in Ref. [31], in cosmological cases, i.e.…”

Section: Brief Review Of the Theorymentioning

confidence: 99%

Solar system tests for realistic f(T) models with non-minimal torsion–matter coupling

Lin

Zhai

2017

Eur. Phys. J. C

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In the previous paper, we have constructed two f (T ) models with non-minimal torsion-matter coupling extension, which are successful in describing the evolution history of the Universe including the radiation-dominated era, the matter-dominated era, and the present accelerating expansion. Meantime, the significant advantage of these models is that they could avoid the cosmological constant problem of CDM. However, the non-minimal coupling between matter and torsion will affect the tests of the Solar system. In this paper, we study the effects of the Solar system in these models, including the gravitation redshift, geodetic effect and perihelion precession. We find that Model I can pass all three of the Solar system tests. For Model II, the parameter is constrained by the uncertainties of the planets' estimated perihelion precessions.

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The Cardassian expansion revisited: constraints from updated Hubble parameter measurements and type Ia supernova data

Magaña

Amante

García‐Aspeitia

et al. 2018

Monthly Notices of the Royal Astronomical Society

169

120

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Motivated by an updated compilation of observational Hubble data (OHD) which consist of 51 points in the redshift range 0.07 < z < 2.36, we study an interesting model known as Cardassian which drives the late cosmic acceleration without a dark energy component. Our compilation contains 31 data points measured with the differential age method by Jimenez & Loeb (2002), and 20 data points obtained from clustering of galaxies. We focus on two modified Friedmann equations: the original Cardassian (OC) expansion and the modified polytropic Cardassian (MPC). The dimensionless Hubble, E(z), and the deceleration parameter, q(z), are revisited in order to constrain the OC and MPC free parameters, first with the OHD and then contrasted with recent observations of SN Ia using the compressed and full joint-light-analysis (JLA) samples. We also perform a joint analysis using the combination OHD plus compressed JLA. Our results show that the OC and MPC models are in agreement with the standard cosmology and naturally introduce a cosmological-constant-like extra term in the canonical Friedmann equation with the capability of accelerating the Universe without dark energy.

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Action functional of the Cardassian universe

Cited by 4 publications

References 53 publications

Diagnostics for generalized power-law torsion-matter coupling $f(T)$ model

Diagnostics for generalized power-law torsion-matter coupling $f(T)$ model

Solar system tests for realistic f(T) models with non-minimal torsion–matter coupling

The Cardassian expansion revisited: constraints from updated Hubble parameter measurements and type Ia supernova data

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