Abstract

OLIVEIRA, ALEXANDRE L.  and  TEIXEIRA, ANTONIO F. F.. Dirac's æther in curved spacetime. An. Acad. Bras. Ciênc. [online]. 2000, vol.72, n.2, pp. 161-164. ISSN 0001-3765.  http://dx.doi.org/10.1590/S0001-37652000000200004.

Proca's equations for two types of fields in a Dirac's æther with electric conductivity s 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 l, the Universe radius R, the limit of photon rest mass m_g and the conductivity s are written down.

Keywords : Dirac's æther; Proca Field; curved spacetime; three-sphere; projective three-space.