Mémoires de Fin d’Etudes
Etablissement
Université d’Oran1 - Ahmed Ben Bella
Affiliation
Département de Physique
Auteur
LAGRAA, Meriem Hadjer
Directeur de thèse
LAGRAA M. (Professeur)
Filière
Physique
Diplôme
Magister
Titre
On The Equivalence Between The Einstein-Cartan Theory and General Relativity in Presence of Fermions
Mots clés
Einstein-Cartan theory; Torsion; Fermions; Axial current; The Barbero-Immirziparameter; The Holst term; Gravity; The Einstein’s Vacuum Equations; General Relativity; The Langrangian Formalism of Gravity.
Résumé
From the freedom exhibited by the generalized Palatini’s proposed in Dubois-Violette and Lagraa (2010 Lett. Math. Phys. 91 83-91), we show that we can obtain the standard effective Einstein-Cartan action coupled to the fermions without the usual current-current interaction and therefore an effective action which does not depend either on the torsion or on the Barbero-Immirzi parameter. This establishes the equivalence between the Einstein-Cartan theory and the theory of general relativity minimally coupled to the fermionic matter.
Date de soutenance
2010
Cote
TH3213
Pagination
IV-49F.
Format
30 cm
Notes
BIBLIOG.47-49F. ABSTRACT AND KEYWORDS.
Statut
Soutenue