A Kerr cavity with a small rotation parameter embedded in Friedmann universes.

Details A Kerr cavity with a small rotation parameter embedded in Friedmann universes. A Kerr cavity with a small rotation parameter embedded in Friedmann universes.

Dec 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988gregr..20.1309c&link_type=abstract

General Relativity and Gravitation, Volume 20, Issue 12, pp.1309-1323

Physics

9

Cosmology:Friedmann Universe, General Relativity:Kerr Metric

Scientific paper

The work of Einstein and Straus, in which they matched a spherical Schwarzschild cavity to an external Friedmann universe, has been extended to the case where the metric holding inside the cavity is that of Kerr, with a small rotation parameter. Families of solutions have been obtained for the exterior metric for the three cases of closed, open, and critically open universes. The exterior metrics are rotational perturbations of Friedmann-Robertson-Walker metrics and, in all of the cases, the conditions may be adjusted so that perturbations decay to zero as the spatial distance from the Kerr inhomogeneity increases.

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