Gravitation and lie-isotopic algebra

Journal Article · Sat Sep 01 00:00:00 EDT 1984 · Hadronic J.; (United States)

OSTI ID:6041596

Gasperini, M

A gravitational theory with an underlying Lie-isotopic algebraic structure is formulated and physically interpreted in terms of a local Lorentz-isotopic symmetry. The gravitaional Lagrangian and the field equations in vacuum are explicitly computed. It is shown that the isotropic lifting of a Riemannian theory leads, in general, to a Riemann-Cartan geometric structure. As the equations of motions are generally different from geodesics, even in the case of a spinless and neutral test-particle, it is suggested that the prediction of a Lie-isotopic theory of gravity could be used for testing the validity of Lorentz invariance for interior problems also at a macroscopical level.

• Research Organization: Instituto di Fisica Teorica, Universita di Torino, Corso M., D'Azeglio, 46, 1-10125 Torino, Italy
• OSTI ID: 6041596
• Journal Information: Hadronic J.; (United States), Vol. 7:5
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
GRAVITATION
LORENTZ INVARIANCE
EQUATIONS OF MOTION
FIELD EQUATIONS
GAUGE INVARIANCE
LAGRANGIAN FUNCTION
LIE GROUPS
RIEMANN SPACE
DIFFERENTIAL EQUATIONS
EQUATIONS
FUNCTIONS
INVARIANCE PRINCIPLES
MATHEMATICAL SPACE
PARTIAL DIFFERENTIAL EQUATIONS
SPACE
SYMMETRY GROUPS
657003* - Theoretical & Mathematical Physics- Relativity & Gravitation