Lorentz equations of motion and a theory of connections in a principal bundle

Journal Article · Sat Feb 14 23:00:00 EST 1987 · Phys. Rev. D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.35.1215· OSTI ID:6837517

Gonzalez-Martin, G

The conjecture that unified nonlinear equations for gravitation and electromagnetism may lead directly to the Lorentz equation of motion for charged particles is discussed assuming a theory of connections on a principal bundle with SL(2,Q) as the structure group. It is shown that the Lorentz equation is a consequence of the field equations when the connection reduces to only one particular component, which may be identified with the electromagnetic potential. The proposed equations generalize, in a nontrivial way, the equations of gravitation and electrodynamics.

• Research Organization: Departamento de Fisica, Universidad Simon Bolivar, Apartado 80659, Caracas 1080, Venezuela
• OSTI ID: 6837517
• Journal Information: Phys. Rev. D; (United States), Journal Name: Phys. Rev. D; (United States) Vol. 35:4; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
CHARGED PARTICLES
DIFFERENTIAL EQUATIONS
EINSTEIN FIELD EQUATIONS
EINSTEIN-MAXWELL EQUATIONS
ELECTRODYNAMICS
ELECTROMAGNETISM
EQUATIONS
EQUATIONS OF MOTION
FIELD EQUATIONS
GRAVITATION
LORENTZ FORCE
MAGNETISM
PARTIAL DIFFERENTIAL EQUATIONS