Axially symmetric equilibrium regions of Friedmann-Lemaitre-Robertson-Walker universes

Details Axially symmetric equilibrium regions of Friedmann-Lemaitre-Robertson-Walker universes Axially symmetric equilibrium regions of Friedmann-Lemaitre-Robertson-Walker universes

2005-05-18

arxiv.org/abs/gr-qc/0505093v1

Class.Quant.Grav. 22 (2005) 4031-4050

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

24 pages. Submitted to CQG

Scientific paper

10.1088/0264-9381/22/19/014

The study of the matching of stationary and axisymmetric spacetimes with Friedmann-Lemaitre-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 (non-static) FLRW 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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