On a particular type of product manifolds and shear-free cosmological models

Details On a particular type of product manifolds and shear-free cosmological models On a particular type of product manifolds and shear-free cosmological models

Sep 2011

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2011cqgra..28q5009g&link_type=abstract

Classical and Quantum Gravity, Volume 28, Issue 17, pp. 175009 (2011).

Mathematics

Logic

Scientific paper

Shear-free flows or observer fields are important objects of study in general relativity; stationary or rigid observers are important examples of shear-free reference frames. In this paper, we introduce a geometric structure based on a local coordinate expression of metrics admitting a shear-free reference frame. Furthermore, we investigate a large sub-class of these models ('tilted' warped products) that includes the Robertson-Walker spacetime, the Gödel spacetime and other models of Gödel type. We present a novel example of a rotating and expanding cosmological model that is contained in this class. Finally, we describe the geodesic barotropic perfect fluid solutions.

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