Inhomogeneous rotating universes with closed timelike geodesics of matter

Details Inhomogeneous rotating universes with closed timelike geodesics of matter Inhomogeneous rotating universes with closed timelike geodesics of matter

Mar 1980

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980jmp....21..521s&link_type=abstract

Journal of Mathematical Physics, Volume 21, Issue 3, pp. 521-525 (1980).

Mathematics

Mathematical Physics

7

Fundamental Problems And General Formalism, Exact Solutions

Scientific paper

We present a new class of inhomogeneous stationary cosmological solutions of Einstein-Maxwell equations, with rotating dust and electromagnetic fields. For a subclass of these models, the topology of the space-time manifold is S3×R, and the timelike geodesic lines of dust are closed; electromagnetic fields are necessary only to avoid matter singularities, while in the completely homogeneous limit they are essential for consistency of field equations; these electromagnetic fields have the structure of magnetic monopole fields, since the total magnetic flux across the unit 2-sphere is different from zero-that is, magnetic monopoles must be present as a source of the fields.

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