Global Utiyama theorem in Einstein--Cartan theory

Journal Article · Tue Sep 01 04:00:00 EDT 1987 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.527417· OSTI ID:6453370

Bruzzo, U

A global formulation of Utiyama's theorem for Einstein--Cartan-type gravitational theories regarded as gauge theories of the group of space-time diffeomorphisms is given. The local conditions for the Lagrangian to be gauge invariant coincide with those found by other authors (A. Perez-Rendon Collantes, ''Utiyama type theorems,'' in Poincare-italic-acute-accent Gauge Approach to Gravity. I, Proceedings Journees Relativistes 1984; A. Perez-Rendon and J. J. Seisdedos, ''Utiyama type theorems in Poincare gauge approach to gravity. II, '' Preprints de Mathematicas, Universidad de Salamanca, 1986) in Kibble's and Hehl's approaches.

• Research Organization: Dipartimento di Matematica, Universita-grave-accent di Genova, Via L. B. Alberti 4, 16132 Genova, Italy
• OSTI ID: 6453370
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 28:9; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

657003* -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
FIELD THEORIES
FUNCTIONS
GAUGE INVARIANCE
GENERAL RELATIVITY THEORY
GLOBAL ANALYSIS
GRAVITATION
GROUP THEORY
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
MATHEMATICS
METRICS
POINCARE GROUPS
SYMMETRY GROUPS
VARIATIONAL METHODS