Torsion, an alternative to dark matter?

Tilquin, A.; Schücker, Thomas

doi:10.1007/s10714-011-1222-6

Cited by 28 publications

(33 citation statements)

References 32 publications

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“…These results coincide with those found by Goenner & Müller-Hoissen [2] (see also [3] for related results). The high degree of symmetry that we are considering fixes the connection in the spatial directions to be that of a maximally symmetric three-dimensional space, with a natural three-dimensional metric associated with it.…”

Section: Geometrysupporting

confidence: 92%

Minimal cosmography

Piazza

Schücker

2016

Gen Relativ Gravit

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The minimal requirement for cosmography-a non-dynamical description of the universe-is a prescription for calculating null geodesics, and time-like geodesics as a function of their proper time. In this paper, we consider the most general linear connection compatible with homogeneity and isotropy, but not necessarily with a metric. A lightcone structure is assigned by choosing a set of geodesics representing light rays. This defines a "scale factor" and a local notion of distance, as that travelled by light in a given proper time interval. We find that the velocities and relativistic energies of free-falling bodies decrease in time as a consequence of cosmic expansion, but at a rate that can be different than that dictated by the usual metric framework. By extrapolating this behavior to photons' redshift, we find that the latter is in principle independent of the "scale factor". Interestingly, redshift-distance relations and other standard geometric observables are modified in this extended framework, in a way that could be experimentally tested. An extremely tight constraint on the model, however, is represented by the blackbody-ness of the Cosmic Microwave Background. Finally, as a check, we also consider the effects of a non-metric connection in a different set-up, namely, that of a static, spherically symmetric spacetime.

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Section: Geometrysupporting

confidence: 92%

Minimal cosmography

Piazza

Schücker

2016

Gen Relativ Gravit

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“…If we allow the presence of torsion in gravitational theories we are exposed to a vast number of new possibilities. One of them is that dark matter represents one of the manifestations of non-trivial torsion, see [4,5,6]. In cosmology there are also considerations in which both dark matter and energy are replaced by torsion [7].…”

Section: Introductionmentioning

confidence: 99%

Near-horizon geometry with torsion

Cvetković

Simić

2019

Phys. Rev. D

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We investigate near-horizon geometry of the rotating Bañados Teiteilboim Zanelli (BTZ) black hole with torsion. Our main motivation is to gain insight into the role of torsion in the near-horizon geometry, which is well understood in the Riemannian case. We obtain that near-horizon geometry represents a generalization of AdS selfdual orbifold with non-trivial torsion. We analyze its asymptotic structure and derive the corresponding algebra of asymptotic symmetries, which consists of chiral Virasoro and centrally extended u(1) Kac-Moody algebra. *

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“…In Einstein-Cartan's gravity, this spin density generates a torsion component in the same direction. At 1σ confidence level, this torsion component can solve the dark matter problem in the Hubble diagram [7,8]. Our motivation for this work was the hope that relaxing the cosmological principle and allowing the spin density to point into a privileged direction in the sky could improve this confidence level.…”

Section: Resultsmentioning

confidence: 99%

“…Another signal, equally weak, was found when fitting the Robertson-Walker metric in the Einstein-Cartan theory [4,5] ( [6] for two recent reviews) to the Hubble diagram: There, torsion generated by some half-integer spin density can be an alternative to dark matter within today's error bars [7,8]: Ω m0 = 9 +30 − 7 % at 1σ level. It seems natural to try and combine these two approaches.…”

Section: Introductionmentioning

confidence: 99%

Einstein–Cartan, Bianchi I and the Hubble diagram

Zouzou¹,

Tilquin²,

Schücker³

2016

Gen Relativ Gravit

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We try to solve the dark matter problem in the fit between theory and the Hubble diagram of supernovae by allowing for torsion via Einstein-Cartan's gravity and for anisotropy via the axial Bianchi I metric. Otherwise we are conservative and admit only the cosmological constant and dust. The failure of our model is quantified by the relative amount of dust in our best fit: Ω m0 = 27 % ± 5 % at 1σ level. PACS: 98.80.Es, 98.80.Cq

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Torsion, an alternative to dark matter?

Abstract: We confront Einstein-Cartan's theory with the Hubble diagram. An affirmative answer to the question in the title is compatible with today's supernovae data. PACS: 98.80.Es, 98.80.Cq

Cited by 28 publications

References 32 publications

Minimal cosmography

Minimal cosmography

Near-horizon geometry with torsion

Einstein–Cartan, Bianchi I and the Hubble diagram

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