Dirac's æther in curved spacetime

Proca's equations for two types of fields in a Dirac's æther 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 S³ or the projective three-space P³. 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.

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Bibliographic Details
Main Authors: OLIVEIRA,ALEXANDRE L., TEIXEIRA,ANTONIO F. F.
Format: Digital revista
Language:English
Published: Academia Brasileira de Ciências 2000
Online Access:http://old.scielo.br/scielo.php?script=sci_arttext&pid=S0001-37652000000200004
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Summary:Proca's equations for two types of fields in a Dirac's æther 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 S³ or the projective three-space P³. 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.