Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2008-03-25
Nuovo Cim.B124:121-133,2009
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
13 pages
Scientific paper
10.1393/ncb/i2009-10752-4
A particular exact solution of Einstein's Hermitian theory of relativity is examined, after recalling that there is merit in adding phenomenological sources to the theory, and in choosing the metric like it was done long ago by Kursunoglu and Hely. It is shown by intrinsic arguments, relying on the properties of the chosen metric manifold, that the solution describes in Einstein's theory the field of n thin parallel wires at rest, run by steady electric currents, and predicts their equilibrium positions through the injunction that the metric must display cylindrical symmetry in the infinitesimal neighbourhood of each wire. In the weak field limit the equilibrium positions coincide with the ones prescribed by Maxwell's electrodynamics.
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