Dirac's æther in curved spacetime

Abstract

Proca's equations for two types of fields in a Dirac's aether with electric conductivity σ are solved exactly. The Proca electromagnetic fields are assumed with cylindrical symmetry. The background is a static, curved spacetime whose spatial section is homogeneous and has the topology of either the three-sphere S 3 or the projective three-space P 3 . Simple relations between the range of Proca field λ, the Universe radius R, the limit of photon rest mass m γ and the conductivity σ are written down.

Dirac's æther in curved spacetime-II: the geometric amplification of the cosmic magnetic induction

“…Equations (2) differ from the ones in Oliveira and Teixeira (2000) by the presence of the skew-symmetric term A µ v ν −A ν v µ instead of the term (1/λ 2 )A ν (that comes from Proca's theory). We adopt a cylindrical coordinate system x µ = (t; ρ, φ, ζ ) in a Friedmann cosmological background.…”

“…In a previous paper, Oliveira and Teixeira (2000) studied the equations of a Dirac's aether (Dirac 1951a, b) coupled to a Proca field in the background of an Einstein static universe. In this paper we search for a geometric amplification of the seed CMI by applying to the cosmic medium a recent version of the Dirac's aether model (Carvalho and Oliveira 2003).…”

“…The Dirac's aether is a kind of cosmic conducting medium with a very small conductivity that does not violate the experimental limits which confirms the maxwellian theory in terrestrial laboratories. In the first paper [5], we studied the equations of the Dirac's aether coupled to the Proca field in the background of an Einstein static universe. Here we search for a geometric amplification of the seed CMI by applying to the cosmic medium a recent version of the Dirac's aether model [6,7].…”