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We consider a generalized Einstein-Cartan theory, in which we add the unique covariant dimension four operators to general relativity that couples fermionic spin current to the torsion tensor (with an arbitrary strength).
Sur une généralisation de la notion de courbure de riemann et les espaces á torsion
Elie Cartan · 1922
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Sur les variétés á connexion affine et la théorie de la relativité généralisée (première partie)
Elie Cartan · 1923
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Lorentz invariance and the gravitational field
T.W.B. Kibble · 1961
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Brownian Motion of a Quantum Oscillator
J.S. Schwinger · 1961
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Diagram Techniques for Nonequilibrium Processes
L.V. Keldysh · 1964
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The Physical structure of general relativity
Dennis W. Sciama · 1964
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Nonlinear spinor equation and asymmetric connection in general relativity
F. W. Hehl and B. K. Datta · 1971
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Spin and torsion may avert gravitational singularities
A. Trautman · 1973
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On the linearized einstein-cartan theory
Kopczynski W. Ponomariev V. N. Arkuszewski, W · 1974
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Effective action for composite operators
John M. Cornwall, R. Jackiw, and E. Tomboulis · 1974
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General relativity with spin and torsion: Foundations and prospects
Friedrich W. Hehl, Paul von der Heyde, G. David Kerlick, and James M. Nester · 1976
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Regularization, renormalization, and covariant geodesic point separation
S. M. Christensen · 1978
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Einstein-Cartan’s Theory of Gravitation in a Hamiltonian Form
Masahiro Kasuya · 1978
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Feynman propagator in curved spacetime: A momentum-space representation
T. S. Bunch and Leonard Parker · 1979
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Quantum Fields in Curved Space
Davies P. C. W. Birrell, N.D · 1984
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Equilibrium and Nonequilibrium Formalisms Made Unified
Kuang-chao Chou, Zhao-bin Su, Bai-lin Hao, and Lu Yu · 1985
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Closed-time-path functional formalism in curved spacetime: Application to cosmological back-reaction problems
E. Calzetta and B. L. Hu · 1987
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Lectures On Differential and Integral Equations
K. Yoshida · 1991
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V. F. Mukhanov, H. A. Feldman, and R. H. Brandenberger · 1992
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Weyssenhoff fluid dynamics in a 1+3 covariant approach
S.D. Brechet, M.P. Hobson, and A.N. Lasenby · 2007
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Elie Cartan’s torsion in geometry and in field theory, an essay
Friedrich W. Hehl and Yuri N. Obukhov · 2007
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Constraining Torsion with Gravity Probe B
Yi Mao, Max Tegmark, Alan H. Guth, and Serkan Cabi · 2007
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Classical big-bounce cosmology: Dynamical analysis of a homogeneous and irrotational Weyssenhoff fluid
S.D. Brechet, M.P. Hobson, and A.N. Lasenby · 2008
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General Theory of Partial Differential Equations of First Order
R. Courant and D. Hilbert · 2008
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New Constraints on Torsion from Lorentz Violation
V. Alan Kostelecky, Neil Russell, and Jay Tasson · 2008
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