Einstein–Cartan theory (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Einstein–Cartan theory" in English language version.

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28doi.org

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16harvard.edu

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13arxiv.org

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10worldcat.org

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6semanticscholar.org

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2nih.gov

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1bnf.fr

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arxiv.org

Cabral, Francisco; Lobo, Francisco S. N.; Rubiera-Garcia, Diego (December 2019). "Einstein–Cartan–Dirac gravity with U(1) symmetry breaking". The European Physical Journal C. 79 (12): 1023. arXiv:1902.02222. Bibcode:2019EPJC...79.1023C. doi:10.1140/epjc/s10052-019-7536-3. ISSN 1434-6044.
Markus Lazar; Friedrich W. Hehl (2010). "Cartan's Spiral Staircase in Physics and, in Particular, in the Gauge Theory of Dislocations". Foundations of Physics. 40: 1298–1325. arXiv:0911.2121. doi:10.1007/s10701-010-9440-4.
N. Popławski (2023). "Chapter 13: Gravitational Collapse with Torsion and Universe in a Black Hole". In C. Bambi (ed.). Regular Black Holes: Towards a New Paradigm of Gravitational Collapse. Springer. pp. 485–499. arXiv:2307.12190. doi:10.1007/978-981-99-1596-5_13.
Stefano Lucat; Tomislav Prokopec (2017). "Cosmological singularities and bounce in Cartan-Einstein theory". Journal of Cosmology and Astroparticle Physics. 2017. arXiv:1512.06074. doi:10.1088/1475-7516/2017/10/047.
K. Atazadeh (2014). "Stability of the Einstein static universe in Einstein-Cartan theory". Journal of Cosmology and Astroparticle Physics. 2014 (6): 020. arXiv:1401.7639. doi:10.1088/1475-7516/2014/06/020.
Cabral, F.; Lobo, F.S.N.; Rubiera-Garcia, D. (2020). "Cosmological bounces, cyclic universes, and effective cosmological constant in Einstein-Cartan-Dirac-Maxwell theory". Physical Review D. 102 (8): 083509. arXiv:2003.07463. doi:10.1103/PhysRevD.102.083509.
Popławski, Nikodem J. (2010). "Cosmology with torsion: An alternative to cosmic inflation". Physics Letters B. 694 (3): 181–185. arXiv:1007.0587. Bibcode:2010PhLB..694..181P. doi:10.1016/j.physletb.2010.09.056.
Popławski, Nikodem J. (2012). "Nonsingular, big-bounce cosmology from spinor–torsion coupling". Physical Review D. 85 (10): 107502. arXiv:1111.4595. Bibcode:2012PhRvD..85j7502P. doi:10.1103/PhysRevD.85.107502. S2CID 118434253.
Popławski, Nikodem J. (2010). "Nonsingular Dirac particles in spacetime with torsion". Physics Letters B. 690 (1): 73–77. arXiv:0910.1181. Bibcode:2010PhLB..690...73P. doi:10.1016/j.physletb.2010.04.073.
Popławski, N. (2016). "Universe in a black hole in Einstein-Cartan gravity". Astrophysical Journal. 832 (2): 96. arXiv:1410.3881. Bibcode:2016ApJ...832...96P. doi:10.3847/0004-637X/832/2/96. S2CID 119771613.
Unger, G.; Popławski, N. (2019). "Big Bounce and closed universe from spin and torsion". Astrophysical Journal. 870 (2): 78. arXiv:1808.08327. Bibcode:2019ApJ...870...78U. doi:10.3847/1538-4357/aaf169. S2CID 119514549.
Subhasish Chakrabarty; Amitabha Lahiri (2019). "Geometrical contribution to neutrino mass matrix". The European Physical Journal C. 79 (8): 697. arXiv:1904.06036. Bibcode:2019EPJC...79..697C. doi:10.1140/epjc/s10052-019-7209-2.
V. Dzhunushaliev; D. Singleton (1999). "Einstein–Cartan–Heisenberg theory of gravity with dynamical torsion". Physics Letters A. 257 (1–2): 7–13. arXiv:gr-qc/9810050. doi:10.1016/S0375-9601(99)00282-0.

bnf.fr

gallica.bnf.fr

Élie Cartan (1922). "Sur une généralisation de la notion de courbure de Riemann et les espaces à torsion". Comptes rendus de l'Académie des Sciences de Paris (in French). 174: 593–595.

doi.org

Cabral, Francisco; Lobo, Francisco S. N.; Rubiera-Garcia, Diego (December 2019). "Einstein–Cartan–Dirac gravity with U(1) symmetry breaking". The European Physical Journal C. 79 (12): 1023. arXiv:1902.02222. Bibcode:2019EPJC...79.1023C. doi:10.1140/epjc/s10052-019-7536-3. ISSN 1434-6044.
Neville, Donald E. (15 February 1980). "Gravity theories with propagating torsion". Physical Review D. 21 (4): 867–873. Bibcode:1980PhRvD..21..867N. doi:10.1103/physrevd.21.867. ISSN 0556-2821.
Markus Lazar; Friedrich W. Hehl (2010). "Cartan's Spiral Staircase in Physics and, in Particular, in the Gauge Theory of Dislocations". Foundations of Physics. 40: 1298–1325. arXiv:0911.2121. doi:10.1007/s10701-010-9440-4.
R. S. Lakes (2021). "Experimental tests of rotation sensitivity in Cosserat elasticity and in gravitation". Zeitschrift für angewandte Mathematik und Physik. 72. doi:10.1007/s00033-021-01563-1.
Cartan, Elie (1923). "Sur les variétés à connexion affine et la théorie de la relativité généralisée (première partie)". Annales Scientifiques de l'École Normale Supérieure (in French). 40: 325–412. doi:10.24033/asens.751. ISSN 0012-9593.
Cartan, Elie (1924). "Sur les variétés à connexion affine, et la théorie de la relativité généralisée (première partie) (Suite)". Annales Scientifiques de l'École Normale Supérieure (in French). 41: 1–25. doi:10.24033/asens.753. ISSN 0012-9593.
Cartan, Elie (1925). "Sur les variétés à connexion affine, et la théorie de la relativité généralisée (deuxième partie)". Annales Scientifiques de l'École Normale Supérieure (in French). 42: 17–88. doi:10.24033/asens.761. ISSN 0012-9593.
Goenner, Hubert F. M. (2004). "On the History of Unified Field Theories". Living Reviews in Relativity. 7 (1): 2. Bibcode:2004LRR.....7....2G. doi:10.12942/lrr-2004-2. PMC 5256024. PMID 28179864.
Sciama, D. W. (1964-01-01). "The Physical Structure of General Relativity". Reviews of Modern Physics. 36 (1): 463–469. Bibcode:1964RvMP...36..463S. doi:10.1103/revmodphys.36.463. ISSN 0034-6861.
Kibble, T. W. B. (1961). "Lorentz Invariance and the Gravitational Field". Journal of Mathematical Physics. 2 (2): 212–221. Bibcode:1961JMP.....2..212K. doi:10.1063/1.1703702. ISSN 0022-2488. S2CID 54806287.
Hehl, Friedrich W.; von der Heyde, Paul; Kerlick, G. David; Nester, James M. (1976-07-01). "General relativity with spin and torsion: Foundations and prospects". Reviews of Modern Physics. 48 (3): 393–416. Bibcode:1976RvMP...48..393H. doi:10.1103/revmodphys.48.393. ISSN 0034-6861. S2CID 55726649.
Hehl, F. W.; Datta, B. K. (1971). "Nonlinear Spinor Equation and Asymmetric Connection in General Relativity". Journal of Mathematical Physics. 12 (7): 1334–1339. Bibcode:1971JMP....12.1334H. doi:10.1063/1.1665738. ISSN 0022-2488.
Hehl, Friedrich W. (2007). "Note on the torsion tensor". Physics Today. 60 (3): 16. Bibcode:2007PhT....60c..16H. doi:10.1063/1.2718743.
Richard J. Petti (1986). "On the local geometry of rotating matter". General Relativity and Gravitation. 18 (5): 441–460. Bibcode:1986GReGr..18..441P. doi:10.1007/bf00770462. ISSN 0001-7701. S2CID 120013580.
N. Popławski (2023). "Chapter 13: Gravitational Collapse with Torsion and Universe in a Black Hole". In C. Bambi (ed.). Regular Black Holes: Towards a New Paradigm of Gravitational Collapse. Springer. pp. 485–499. arXiv:2307.12190. doi:10.1007/978-981-99-1596-5_13.
Stefano Lucat; Tomislav Prokopec (2017). "Cosmological singularities and bounce in Cartan-Einstein theory". Journal of Cosmology and Astroparticle Physics. 2017. arXiv:1512.06074. doi:10.1088/1475-7516/2017/10/047.
K. Atazadeh (2014). "Stability of the Einstein static universe in Einstein-Cartan theory". Journal of Cosmology and Astroparticle Physics. 2014 (6): 020. arXiv:1401.7639. doi:10.1088/1475-7516/2014/06/020.
Cabral, F.; Lobo, F.S.N.; Rubiera-Garcia, D. (2020). "Cosmological bounces, cyclic universes, and effective cosmological constant in Einstein-Cartan-Dirac-Maxwell theory". Physical Review D. 102 (8): 083509. arXiv:2003.07463. doi:10.1103/PhysRevD.102.083509.
Popławski, Nikodem J. (2010). "Cosmology with torsion: An alternative to cosmic inflation". Physics Letters B. 694 (3): 181–185. arXiv:1007.0587. Bibcode:2010PhLB..694..181P. doi:10.1016/j.physletb.2010.09.056.
Popławski, Nikodem J. (2012). "Nonsingular, big-bounce cosmology from spinor–torsion coupling". Physical Review D. 85 (10): 107502. arXiv:1111.4595. Bibcode:2012PhRvD..85j7502P. doi:10.1103/PhysRevD.85.107502. S2CID 118434253.
Popławski, Nikodem J. (2010). "Nonsingular Dirac particles in spacetime with torsion". Physics Letters B. 690 (1): 73–77. arXiv:0910.1181. Bibcode:2010PhLB..690...73P. doi:10.1016/j.physletb.2010.04.073.
Popławski, N. (2016). "Universe in a black hole in Einstein-Cartan gravity". Astrophysical Journal. 832 (2): 96. arXiv:1410.3881. Bibcode:2016ApJ...832...96P. doi:10.3847/0004-637X/832/2/96. S2CID 119771613.
Unger, G.; Popławski, N. (2019). "Big Bounce and closed universe from spin and torsion". Astrophysical Journal. 870 (2): 78. arXiv:1808.08327. Bibcode:2019ApJ...870...78U. doi:10.3847/1538-4357/aaf169. S2CID 119514549.
V. de Sabbata; C. Sivaram (1991). "Gravimagnetic field, torsion, and gravitational shielding". Il Nuovo Cimento B (1971-1996). 106: 873–878. doi:10.1007/BF02723183.
V. De Sabbata; M. Gasperini (1981). "Neutrino oscillations in the presence of torsion". Il Nuovo Cimento A (1971-1996). 65 (4): 479–500. Bibcode:1981NCimA..65..479S. doi:10.1007/BF02902051.
Subhasish Chakrabarty; Amitabha Lahiri (2019). "Geometrical contribution to neutrino mass matrix". The European Physical Journal C. 79 (8): 697. arXiv:1904.06036. Bibcode:2019EPJC...79..697C. doi:10.1140/epjc/s10052-019-7209-2.
V. Dzhunushaliev; D. Singleton (1999). "Einstein–Cartan–Heisenberg theory of gravity with dynamical torsion". Physics Letters A. 257 (1–2): 7–13. arXiv:gr-qc/9810050. doi:10.1016/S0375-9601(99)00282-0.
Venzo de Sabbata; C. Sivaram (1995). "Torsion, string tension, and topological origin of charge and mass". Foundations of Physics Letters. 8: 375–380. doi:10.1007/BF02187817.

harvard.edu

ui.adsabs.harvard.edu

Cabral, Francisco; Lobo, Francisco S. N.; Rubiera-Garcia, Diego (December 2019). "Einstein–Cartan–Dirac gravity with U(1) symmetry breaking". The European Physical Journal C. 79 (12): 1023. arXiv:1902.02222. Bibcode:2019EPJC...79.1023C. doi:10.1140/epjc/s10052-019-7536-3. ISSN 1434-6044.
Neville, Donald E. (15 February 1980). "Gravity theories with propagating torsion". Physical Review D. 21 (4): 867–873. Bibcode:1980PhRvD..21..867N. doi:10.1103/physrevd.21.867. ISSN 0556-2821.
Goenner, Hubert F. M. (2004). "On the History of Unified Field Theories". Living Reviews in Relativity. 7 (1): 2. Bibcode:2004LRR.....7....2G. doi:10.12942/lrr-2004-2. PMC 5256024. PMID 28179864.
Sciama, D. W. (1964-01-01). "The Physical Structure of General Relativity". Reviews of Modern Physics. 36 (1): 463–469. Bibcode:1964RvMP...36..463S. doi:10.1103/revmodphys.36.463. ISSN 0034-6861.
Kibble, T. W. B. (1961). "Lorentz Invariance and the Gravitational Field". Journal of Mathematical Physics. 2 (2): 212–221. Bibcode:1961JMP.....2..212K. doi:10.1063/1.1703702. ISSN 0022-2488. S2CID 54806287.
Hehl, Friedrich W.; von der Heyde, Paul; Kerlick, G. David; Nester, James M. (1976-07-01). "General relativity with spin and torsion: Foundations and prospects". Reviews of Modern Physics. 48 (3): 393–416. Bibcode:1976RvMP...48..393H. doi:10.1103/revmodphys.48.393. ISSN 0034-6861. S2CID 55726649.
Hehl, F. W.; Datta, B. K. (1971). "Nonlinear Spinor Equation and Asymmetric Connection in General Relativity". Journal of Mathematical Physics. 12 (7): 1334–1339. Bibcode:1971JMP....12.1334H. doi:10.1063/1.1665738. ISSN 0022-2488.
Hehl, Friedrich W. (2007). "Note on the torsion tensor". Physics Today. 60 (3): 16. Bibcode:2007PhT....60c..16H. doi:10.1063/1.2718743.
Richard J. Petti (1986). "On the local geometry of rotating matter". General Relativity and Gravitation. 18 (5): 441–460. Bibcode:1986GReGr..18..441P. doi:10.1007/bf00770462. ISSN 0001-7701. S2CID 120013580.
Popławski, Nikodem J. (2010). "Cosmology with torsion: An alternative to cosmic inflation". Physics Letters B. 694 (3): 181–185. arXiv:1007.0587. Bibcode:2010PhLB..694..181P. doi:10.1016/j.physletb.2010.09.056.
Popławski, Nikodem J. (2012). "Nonsingular, big-bounce cosmology from spinor–torsion coupling". Physical Review D. 85 (10): 107502. arXiv:1111.4595. Bibcode:2012PhRvD..85j7502P. doi:10.1103/PhysRevD.85.107502. S2CID 118434253.
Popławski, Nikodem J. (2010). "Nonsingular Dirac particles in spacetime with torsion". Physics Letters B. 690 (1): 73–77. arXiv:0910.1181. Bibcode:2010PhLB..690...73P. doi:10.1016/j.physletb.2010.04.073.
Popławski, N. (2016). "Universe in a black hole in Einstein-Cartan gravity". Astrophysical Journal. 832 (2): 96. arXiv:1410.3881. Bibcode:2016ApJ...832...96P. doi:10.3847/0004-637X/832/2/96. S2CID 119771613.
Unger, G.; Popławski, N. (2019). "Big Bounce and closed universe from spin and torsion". Astrophysical Journal. 870 (2): 78. arXiv:1808.08327. Bibcode:2019ApJ...870...78U. doi:10.3847/1538-4357/aaf169. S2CID 119514549.
V. De Sabbata; M. Gasperini (1981). "Neutrino oscillations in the presence of torsion". Il Nuovo Cimento A (1971-1996). 65 (4): 479–500. Bibcode:1981NCimA..65..479S. doi:10.1007/BF02902051.
Subhasish Chakrabarty; Amitabha Lahiri (2019). "Geometrical contribution to neutrino mass matrix". The European Physical Journal C. 79 (8): 697. arXiv:1904.06036. Bibcode:2019EPJC...79..697C. doi:10.1140/epjc/s10052-019-7209-2.

nih.gov

ncbi.nlm.nih.gov

Goenner, Hubert F. M. (2004). "On the History of Unified Field Theories". Living Reviews in Relativity. 7 (1): 2. Bibcode:2004LRR.....7....2G. doi:10.12942/lrr-2004-2. PMC 5256024. PMID 28179864.

pubmed.ncbi.nlm.nih.gov

Goenner, Hubert F. M. (2004). "On the History of Unified Field Theories". Living Reviews in Relativity. 7 (1): 2. Bibcode:2004LRR.....7....2G. doi:10.12942/lrr-2004-2. PMC 5256024. PMID 28179864.

semanticscholar.org

api.semanticscholar.org

Kibble, T. W. B. (1961). "Lorentz Invariance and the Gravitational Field". Journal of Mathematical Physics. 2 (2): 212–221. Bibcode:1961JMP.....2..212K. doi:10.1063/1.1703702. ISSN 0022-2488. S2CID 54806287.
Hehl, Friedrich W.; von der Heyde, Paul; Kerlick, G. David; Nester, James M. (1976-07-01). "General relativity with spin and torsion: Foundations and prospects". Reviews of Modern Physics. 48 (3): 393–416. Bibcode:1976RvMP...48..393H. doi:10.1103/revmodphys.48.393. ISSN 0034-6861. S2CID 55726649.
Richard J. Petti (1986). "On the local geometry of rotating matter". General Relativity and Gravitation. 18 (5): 441–460. Bibcode:1986GReGr..18..441P. doi:10.1007/bf00770462. ISSN 0001-7701. S2CID 120013580.
Popławski, Nikodem J. (2012). "Nonsingular, big-bounce cosmology from spinor–torsion coupling". Physical Review D. 85 (10): 107502. arXiv:1111.4595. Bibcode:2012PhRvD..85j7502P. doi:10.1103/PhysRevD.85.107502. S2CID 118434253.
Popławski, N. (2016). "Universe in a black hole in Einstein-Cartan gravity". Astrophysical Journal. 832 (2): 96. arXiv:1410.3881. Bibcode:2016ApJ...832...96P. doi:10.3847/0004-637X/832/2/96. S2CID 119771613.
Unger, G.; Popławski, N. (2019). "Big Bounce and closed universe from spin and torsion". Astrophysical Journal. 870 (2): 78. arXiv:1808.08327. Bibcode:2019ApJ...870...78U. doi:10.3847/1538-4357/aaf169. S2CID 119514549.

worldcat.org

search.worldcat.org

Cabral, Francisco; Lobo, Francisco S. N.; Rubiera-Garcia, Diego (December 2019). "Einstein–Cartan–Dirac gravity with U(1) symmetry breaking". The European Physical Journal C. 79 (12): 1023. arXiv:1902.02222. Bibcode:2019EPJC...79.1023C. doi:10.1140/epjc/s10052-019-7536-3. ISSN 1434-6044.
Neville, Donald E. (15 February 1980). "Gravity theories with propagating torsion". Physical Review D. 21 (4): 867–873. Bibcode:1980PhRvD..21..867N. doi:10.1103/physrevd.21.867. ISSN 0556-2821.
Cartan, Elie (1923). "Sur les variétés à connexion affine et la théorie de la relativité généralisée (première partie)". Annales Scientifiques de l'École Normale Supérieure (in French). 40: 325–412. doi:10.24033/asens.751. ISSN 0012-9593.
Cartan, Elie (1924). "Sur les variétés à connexion affine, et la théorie de la relativité généralisée (première partie) (Suite)". Annales Scientifiques de l'École Normale Supérieure (in French). 41: 1–25. doi:10.24033/asens.753. ISSN 0012-9593.
Cartan, Elie (1925). "Sur les variétés à connexion affine, et la théorie de la relativité généralisée (deuxième partie)". Annales Scientifiques de l'École Normale Supérieure (in French). 42: 17–88. doi:10.24033/asens.761. ISSN 0012-9593.
Sciama, D. W. (1964-01-01). "The Physical Structure of General Relativity". Reviews of Modern Physics. 36 (1): 463–469. Bibcode:1964RvMP...36..463S. doi:10.1103/revmodphys.36.463. ISSN 0034-6861.
Kibble, T. W. B. (1961). "Lorentz Invariance and the Gravitational Field". Journal of Mathematical Physics. 2 (2): 212–221. Bibcode:1961JMP.....2..212K. doi:10.1063/1.1703702. ISSN 0022-2488. S2CID 54806287.
Hehl, Friedrich W.; von der Heyde, Paul; Kerlick, G. David; Nester, James M. (1976-07-01). "General relativity with spin and torsion: Foundations and prospects". Reviews of Modern Physics. 48 (3): 393–416. Bibcode:1976RvMP...48..393H. doi:10.1103/revmodphys.48.393. ISSN 0034-6861. S2CID 55726649.
Hehl, F. W.; Datta, B. K. (1971). "Nonlinear Spinor Equation and Asymmetric Connection in General Relativity". Journal of Mathematical Physics. 12 (7): 1334–1339. Bibcode:1971JMP....12.1334H. doi:10.1063/1.1665738. ISSN 0022-2488.
Richard J. Petti (1986). "On the local geometry of rotating matter". General Relativity and Gravitation. 18 (5): 441–460. Bibcode:1986GReGr..18..441P. doi:10.1007/bf00770462. ISSN 0001-7701. S2CID 120013580.