Dirac's aether in curved spacetime.
Proca's equations for two types of fields in a Dirac's aether with electric conductivity sigma 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 lambda, the Universe radius R, the limit of photon rest mass mgamma and the conductivity sigma are written down.
Departamento de Astronomia, Universidade Federal do Rio de Janeiro, Rio de Janeiro, RJ, 20080-090, Brazil.
AL
Oliveira
AF
Teixeira