Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-06-29
NuovoCim.B109:973-982,1994
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
13 pages, plain-tex, recently appearing in Nuovo Cimento B, volume 109, pages 973-982, September 1994
Scientific paper
10.1007/BF02726144
This paper studies the self-dual Einstein-Dirac theory. A generalization is obtained of the Jacobson-Smolin proof of the equivalence between the self-dual and Palatini purely gravitational actions. Hence one proves equivalence of self-dual Einstein-Dirac theory to the Einstein-Cartan-Sciama-Kibble-Dirac theory. The Bianchi symmetry of the curvature, core of the proof, now contains a non-vanishing torsion. Thus, in the self-dual framework, the extra terms entering the equations of motion with respect to the standard Einstein-Dirac field equations, are neatly associated with torsion.
Esposito Giampiero
Morales-Tecotl Hugo A.
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