Electrodynamic and gravitational effects of Proca stresses in astrophysics

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Electrodynamics, Galactic Evolution, Gravitational Effects, Photons, Magnetic Fields, Stresses

Scientific paper

If the photon were to have a rest mass near the best present upper limit, 3 x 10 to the -53rd power g, Maxwell's equations would be inapplicable over distances exceeding about 10 to the 15th power cm, with profound implications for cosmic electrodynamics. This paper deals with electrodynamic and gravitational effects of the non-Maxwellian stresses which would be associated with large-scale magnetic fields in quasi-static plasmas in these circumstances. The existence of moderately dense interstellar gas clouds with relatively strong magnetization shows that the upper limit to the photon rest mass is 10 to the -58th power g. General relativity must be used to calculate even the 'Newtonian' gravitational effects of electromagnetic fields, and it is shown that the Newtonian potential caused by the non-Maxwellian stresses just cancels that caused by the non-Maxwellian energy density. Previous arguments based on the latter alone are therefore invalid.

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