Self-dual formulation of the four-dimensional Chamseddine's gauge theory of gravity

Details Self-dual formulation of the four-dimensional Chamseddine's gauge theory of gravity Self-dual formulation of the four-dimensional Chamseddine's gauge theory of gravity

Oct 2000

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000phrvd..62h4006h&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 62, Issue 8, 15 October 2000, id.084006

Physics

1

Canonical Formalism, Lagrangians, And Variational Principles, Gravity In More Than Four Dimensions, Kaluza-Klein Theory, Unified Field Theories, Alternative Theories Of Gravity, Lagrangian And Hamiltonian Approach

Scientific paper

A certain form of an effective gravity action and its related Hamiltonian are algebraically expanded. The Lagrangian is expressed as a sum of the MacDowell-Mansouri terms with a scalar multiplier and the torsion terms with a scalar multiplet factor, and is decomposed into two parts: the self-dual and the anti-self-dual part. A self-dual formulation of the four-dimensional Chamseddine theory is obtained. Its Lagrangian contains a self-dual Brans-Dicke term which is the Ashtekar Lagrangian with a scalar multiplier.

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