Axially symmetric equilibrium regions in FLRW universes

Details Axially symmetric equilibrium regions in FLRW universes Axially symmetric equilibrium regions in FLRW universes

Jun 2006

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2006aipc..841..623n&link_type=abstract

A CENTURY OF RELATIVITY PHYSICS: ERE 2005; XXVIII Spanish Relativity Meeting. AIP Conference Proceedings, Volume 841, pp. 623-6

Physics

Fundamental Problems And General Formalism, Mathematical And Relativistic Aspects Of Cosmology, Einstein-Maxwell Spacetimes, Spacetimes With Fluids, Radiation Or Classical Fields

Scientific paper

The study of the matching of stationary and axisymmetric spacetimes with Friedmann-Lemaître-Robertson-Walker spacetimes preserving the axial symmetry is presented. We show, in particular, that any orthogonally transitive stationary and axisymmetric region in FLRW must be static, irrespective of the matter content. Therefore, previous results on static regions in FLRW cosmologies apply. As a result, the only stationary and axisymmetric vacuum region that can be matched to a FLRW (non-static) spacetime is a spherically symmetric region of Schwarzschild. This constitutes another uniqueness result for the Einstein-Straus model (as well as its Oppenheimer-Snyder counterpart), and hence another indication of its unsuitability as an answer to the influence of the cosmic expansion on local physics.

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