On the Modified Palatini Action Coupled to Fermionic Matter

Details On the Modified Palatini Action Coupled to Fermionic Matter On the Modified Palatini Action Coupled to Fermionic Matter

Oct 2010

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2010aipc.1295..222l&link_type=abstract

THE THIRD ALGERIAN WORKSHOP ON ASTRONOMY AND ASTROPHYSICS. AIP Conference Proceedings, Volume 1295, pp. 222-229 (2010).

Astronomy and Astrophysics

Astrophysics

Fermions, Einstein Field Equations, Partial Differential Equations, Dirac Equation, Fermion Systems And Electron Gas, Canonical Formalism, Lagrangians, And Variational Principles, Partial Differential Equations, Relativistic Wave Equations

Scientific paper

From the generalized Palatini's action proposed recently in [1], we show that we can obtain the standard effective action of the theory of Einstein-Cartan coupled to the fermionic matter without the usual current-current interaction. Therefore, an effective action which is free from the Barbero-Immirzi parameter [2] and the non-vanishing torsion resulting from the presence of the minimal coupling of fermionic matter. This establishes the equivalence between the theories of general relativity and Einstein-Cartan minimally coupled to fermions [3].

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