Analog of electric and magnetic fields in stationary gravitational systems
Newtonian and Machian aspects of the stationary gravitational field are brought into formal analogy with a stationry electromagnetic field. The electromagnetic vector potential equals (up to a factor) the timelike Killing vector field. The current density is given by the contraction of the Killing vector with the Ricci tensor. A coordinate-dependent split in electric and magnetic field vectors is given, and some results of classical electrodynamics are used to illustrate the analogy. In the linearized theory, the usual Maxwell equations are obtained. The analogy also holds from the point of view of particle motion. The geodesic equation is brought into a special form that exhibits an analog to the Lorentz force. Two examples (which have played an important role in the theoretical discovery of Machian effects) are considered.
- Research Organization:
- Institut fuer Theoretische Physik der Universitaet Wien, Boltzmanngasse 5, A-1090 Wien, Austria
- OSTI ID:
- 6794273
- Journal Information:
- Found. Phys.; (United States), Journal Name: Found. Phys.; (United States) Vol. 14:8; ISSN FNDPA
- Country of Publication:
- United States
- Language:
- English
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Related Subjects
657003 -- Theoretical & Mathematical Physics-- Relativity & Gravitation
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
DIFFERENTIAL EQUATIONS
ELECTROMAGNETIC FIELDS
EQUATIONS
FIELD EQUATIONS
GRAVITATIONAL FIELDS
MAXWELL EQUATIONS
PARTIAL DIFFERENTIAL EQUATIONS
SPACE-TIME
TENSORS
VECTOR FIELDS