Mathematics – Differential Geometry
Scientific paper
Jul 2000
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2000jmp....41.4765h&link_type=abstract
Journal of Mathematical Physics, Volume 41, Issue 7, pp. 4765-4776 (2000).
Mathematics
Differential Geometry
1
Relativity And Gravitation, Exact Solutions, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields, Classical Differential Geometry, Spacetime Topology, Causal Structure, Spinor Structure, Hydrodynamics
Scientific paper
Radial conformal motions are considered in conformally flat space-times and their properties are used to obtain conformal factors. The geodesic case leads directly to the conformal factor of Robertson-Walker universes. General cases admitting homogeneous expansion or orthogonal hypersurfaces of constant curvature are analyzed separately. When the two conditions above are considered together a subfamily of the Stephani perfect fluid solutions, with acceleration Fermi-Walker propagated along the flow of the fluid, follows. The corresponding conformal factors are calculated and contrasted with those associated with Robertson-Walker space-times.
Herrero Alicia
Morales Juan Antonio
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