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.
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Cartan É.: Sur les variétés à connexion affine et la théorie de la rélativité généralisée première partie. Ann. Éc. Norm. Sup. 40, 325 (1923)
Cartan É.: Première partie, suite. Ann. Éc. Norm. Sup. 41, 1 (1924)
Cartan É.: Deuxième partie. Ann. Éc. Norm. Sup. 42, 17 (1925)
Hehl F.W., von der Heyde P., Kerlick G.D., Nester J.M.: General relativity with spin and torsion: Foundations and prospects. Rev. Mod. Phys. 48, 393 (1978)
Capozziello S., Lambiase G., Stornaiolo C.: Geometric classification of the torsion tensor in space-time. Annalen Phys. 10, 713 (2001) [gr-qc/0101038]
Shapiro I.L.: Physical aspects of the space-time torsion. Phys. Rept 357, 113 (2002) [hep-th/0103093]
Goenner H., Müller-Hoissen F.: Spatially homogeneous and isotropic space in theories of gravitation with torsion. Class. Quant. Gravit. 1, 651 (1984)
Shie K.F., Nester J.M., Yo H.J.: Torsion cosmology and the accelerating universe. Phys. Rev. D 78, 023522 (2008) [arXiv:0805.3834 [gr-qc]]
Minkevich, A.V.: Comment on ‘Torsion cosmology and accelerating universe’ (2009) arXiv:0811.1430 [gr-qc]
Minkevich A.V.: Accelerating Universe without dark energy and dark matter and spacetime torsion. Phys. Lett. B 678, 423 (2009) [arXiv:0902.2860 [gr-qc]]
Li X.-z., Sun C.-b., Xi P.: Statefinder diagnostic in a torsion cosmology. JCAP 0904, 015 (2009) [arXiv:0903.4724 [gr-qc]]
Baekler P., Hehl F.W., Nester J.M.: Poincaré gauge theory of gravity: Friedman cosmology with even and odd parity modes. Analytic part. Phys. Rev. D 83, 024001 (2011) [arXiv:1009.5112 [gr-qc]]
Marciante, M.: Fluctuation de l’opérateur de Dirac et principe d’équivalence. mémoire de DEA CPT Marseille (2007)
Connes A.: Gravity coupled with matter and the foundation of noncommutative geometry. Commun. Math. Phys. 182, 155 (1996) [arXiv:hep-th/9603053]
Hanisch, F., Pfäffle, F., Stephan, C.A.: The spectral action for dirac operators with skew-symmetric torsion. Commun. Math. Phys. 300, 877 (2010) [arXiv:0911.5074 [hep-th
Iochum, B., Levy, C., Vassilevich, D.: Spectral action for torsion with and without boundaries (2010) arXiv:1008.3630 [hep-th]
Pfäffle, F., Stephan, C.A.: On gravity, torsion and the spectral action principle (2011) arXiv:1101.1424 [math-ph]
Pfäffle, F., Stephan, C.A.: The Holst action by the spectral action principle. Commun. Math. Phys. arXiv:1102.0954 [math-ph], in press
Göckeler, M., Schücker, T.: Differential Geometry, Gauge Theories, and Gravity. Cambridge Monographs on Mathematical Physics, Cambridge University Press (1987)
Tsamparlis M.: Cosmological principle and torsion. Phys. Lett. A 75, 27 (1979)
Tsamparlis M.: Methods for deriving solutions in generalized theories of gravitation: the Einstein-cartan theory. Phys. Rev. D 24, 1451 (1981)
See for example: Berry, M.: Principles of Cosmology and Gravitation. Cambridge University Press, Cambridge (1976)
Kopczyński W.: A non-singular universe with torsion. Phys. Lett. A 39, 219 (1972)
Böhmer C.G., Burnett J.: Dark spinors with torsion in cosmology. Phys. Rev. D 78, 104001 (2008) [arXiv:0809.0469 [gr-qc]]
Popławski N.J.: Cosmology with torsion—an alternative to cosmic inflation. Phys. Lett. B 694, 181 (2010) [arXiv:1007.0587 [astro-ph.CO]]
Popławski N.J.: Cosmological constant from quarks and torsion. Annalen Phys 523, 291 (2011) [arXiv:1005.0893 [gr-qc]]
Popławski, N.J.: Four-fermion interaction from torsion as dark energy (2011) [arXiv:1102.5667 [gr-qc]]
Amanullah, R., et al.: Spectra and HST Light Curves of Six Type IA Supernovae at 0.511 < z < 1.12 and the Union2 Compilation; ApJ: April 9 (2010)
Shampine L.F., Watts H.A.: The art of writing a Runge-Kutta code, Part I. In: Rice, J.R. (eds) Mathematical Software III (1979)., pp. 257. Academic Press, New York (1977)
Shampine, L.F., Watts, H.A.: The art of writing a Runge-Kutta code, Part II. Appl. Math. Comput. 5, p. 93 (1979)
The ROOT analysis package, http://root.cern.ch/drupal/
Amsler C. et al.: Review of particle physics. Phys. Lett. B 667, 1–6 (2008)
Larson D. et al.: Seven-year Wilkinson microwave anisotropy probe (WMAP) observations: power spectra and WMAP derived parameters. ApJ. Suppl. 192, 16 (2011)
Capozziello S., Cardone V.F., Piedipalumbo E., Sereno M., Troisi A.: Matching torsion Lambda—term with observations. Int. J. Mod. Phys D 12, 381 (2003) [astro-ph/0209610]
Bloomer I.: A maximally symmetric space with torsion. Gen. Relativ. Gravit. 9, 763 (1978)
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Tilquin, A., Schücker, T. Torsion, an alternative to dark matter?. Gen Relativ Gravit 43, 2965–2978 (2011). https://doi.org/10.1007/s10714-011-1222-6
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DOI: https://doi.org/10.1007/s10714-011-1222-6