Motion of Particles in Einstein's Relativistic Field Theory. VIII. Displacement Field, Fundamental Field, and Geodesics

Journal Article · Sat Sep 01 04:00:00 EDT 1973 · Physical Review. D, Particles Fields

DOI:https://doi.org/10.1103/PhysRevD.8.1645· OSTI ID:4357823

Johnson, Coates R.

In several earlier papers the author developed an approximation method for finding the Lorentz-covariant equations of structure and motion of interacting particles represented by singularities in Einstein's theory of the nonsymmetric field and in Einstein's theory of the gravitational field. In this paper techniques are presented for finding in these theories the displacement field, the fundamental field, and the equstions of geodesics--in terms of a field denoted by gamma _μν--to any order of approximation desired. The techniques are applied, and the displacement field, fundamental field, and the equations of geodesics are found, in terms of gamma _μν, to those orders of approximation needed in future work--the fourth order when dealing with charged particles (and investigating interactions over atomic and molecular distances) and the eighth order when dealing with neutral particles (and investigating higher-order gravitational effects). Certain general properties of the above-mentioned fields and equations are also discussed.

• Research Organization: Department of Physics and Astronomy, University of Georgia, Athens, Georgia 30601
• Sponsoring Organization: USDOE
• NSA Number: NSA-29-014566
• OSTI ID: 4357823
• Journal Information: Physical Review. D, Particles Fields, Journal Name: Physical Review. D, Particles Fields Journal Issue: 6 Vol. 8; ISSN PRVDAQ; ISSN 0556-2821
• Publisher: American Physical Society (APS)
• Country of Publication: United States
• Language: English

Related Subjects

*GRAVITATIONAL FIELDS-- EINSTEIN FIELD EQUATIONS
79 ASTRONOMY AND ASTROPHYSICS
GENERAL RELATIVITY THEORY
GEODESY
LORENTZ INVARIANCE
MOTION
PARTICLES
SINGULARITY