Asymmetric connection treatment of the Einstein-Maxwell field equations

Journal Article · Sun Jul 15 00:00:00 EDT 1979 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.20.356· OSTI ID:6090871

McKellar, R J

Scalar densities which are concomitants of an asymmetric tensor of covariant valency 2, an asymmetric connection and its derivative, are examined in an effort to obtain the Einstein-Maxwell field equations from a variational principle based on such a Lagrangian. A particular Lagrangian is found that yields the desired result. In the process of the construction we are forced to identify the torsion vector with the electromagnetic potential.

• Research Organization: Department of Applied Mathematics, University of Waterloo, Waterloo, Ontario N2L 3G1, Canada
• OSTI ID: 6090871
• Journal Information: Phys. Rev., D; (United States), Vol. 20:2
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
EINSTEIN-MAXWELL EQUATIONS
CALCULATION METHODS
LAGRANGIAN FUNCTION
ASYMMETRY
ELECTROMAGNETIC FIELDS
GRAVITATIONAL FIELDS
LAGRANGIAN FIELD THEORY
METRICS
RICCI TENSOR
SCALAR FIELDS
VARIATIONAL METHODS
EQUATIONS
FIELD EQUATIONS
FIELD THEORIES
FUNCTIONS
QUANTUM FIELD THEORY
TENSORS
645400* - High Energy Physics- Field Theory
657003 - Theoretical & Mathematical Physics- Relativity & Gravitation