Uniqueness of gravity as a Poincare or Lorentz gauge theory

Journal Article · Tue Dec 01 04:00:00 EST 1981 · J. Math. Phys. (N.Y.); (United States)

DOI:https://doi.org/10.1063/1.524854· OSTI ID:5870377

McKellar, R J

The uniqueness of the Einstein--Cartan--Sciama--Kibble theory is examined using a concomitant approach. The demand that the Lagrangian be a scalar density under coordinate transformations and a scalar under Poincare or Lorentz gauge transformations as well as be degenerate in the order of the Euler--Lagrange expressions determines a class of Lagrangians whose Euler--Lagrange equations reduce essentially to the Einstein vacuum field equations with cosmological term.

• Research Organization: Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario, Canada, N2L 3G1
• OSTI ID: 5870377
• Journal Information: J. Math. Phys. (N.Y.); (United States), Journal Name: J. Math. Phys. (N.Y.); (United States) Vol. 22:12; ISSN JMAPA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
EINSTEIN FIELD EQUATIONS
EQUATIONS
FIELD EQUATIONS
FUNCTIONS
GAUGE INVARIANCE
GRAVITATION
INVARIANCE PRINCIPLES
LAGRANGIAN FUNCTION
LIE GROUPS
LORENTZ TRANSFORMATIONS
POINCARE GROUPS
SYMMETRY GROUPS
TRANSFORMATIONS