Covariant framework for mass monopole in general relativity

Thesis/Dissertation · Mon Jan 01 04:00:00 EST 1979

OSTI ID:5157225

Schleifer, N

We present a framework for a covariant description of what is usually referred to as a mass monopole, by utilizing certain scalar invariants that are functions of the eigenvalues of the Riemann tensor. We thus bridge one of the theoretical gaps in the Einstein-Infeld-Hoffmann (EIH) derivation of the equations of motion of particles from the field equations: the lack of a covariant characterization of those aspects of a particle's structure which influence its motion. We have succeeded in giving a covariant framework for mass monopole, which is the particle type assumed by EIH in their derivation. In addition, our novel use of eigenvalues of the Riemann tensor appears to be a promising avenue of approach to the covariant characterization of other particle structure.

• OSTI ID: 5157225
• Country of Publication: United States
• Language: English

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71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
EIGENVALUES
EQUATIONS
EQUATIONS OF MOTION
FIELD THEORIES
GENERAL RELATIVITY THEORY
MASS
MATHEMATICAL SPACE
MONOPOLES
PARTIAL DIFFERENTIAL EQUATIONS
RIEMANN SPACE
SPACE