ELECTROMAGNETIC SOURCES IN GENERAL RELATIVITY THEORY

Journal Article · Fri Sep 01 04:00:00 EDT 1961 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.123.1888· OSTI ID:4839462

Waite, T R

The simplest, most direct method of unifying Maxwell's theory of electromagnetism and Einstein's theory of gravitation was fonmulated by Rainich in 1925. That theory applies only to charge-free space. However, in regions of space in which the electromagnetic field invariant corresponding to E - B vanishes, the two sets of Maxwell's equations are independent for Rainich's unified theory. The Rainich theory may be modified to allow for nonvanishing charge and current density in such regions. The electromagnetic sources and fields obey Maxwell-Lorentz theory and the electromagnetic matter-energy obeys the laws of Einstein's general relativity theory. The necessary and sufficient conditions which must be imposed on the metric tensor and its derivatives in order to assure the existence of a unique antisymmetric tensor obeying the MaxwellLorentz laws in the presence of charges and currents are derived. (auth)

• Research Organization: Atomics International, Canoga Park, Calif.
• NSA Number: NSA-15-031775
• OSTI ID: 4839462
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 123; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

ELECTRODYNAMICS
ELECTROMAGNETIC WAVES
GRAVITATION
MAXWELL EQUATIONS
PHYSICS
RELATIVITY THEORY
TENSORS
VECTORS