Axially symmetric Einstein-Straus models

Details Axially symmetric Einstein-Straus models Axially symmetric Einstein-Straus models

2002-02-23

arxiv.org/abs/gr-qc/0202087v1

Phys.Rev. D57 (1998) 3389-3400

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Latex, no figures

Scientific paper

10.1103/PhysRevD.57.3389

The existence of static and axially symmetric regions in a Friedman-Lemaitre cosmology is investigated under the only assumption that the cosmic time and the static time match properly on the boundary hypersurface. It turns out that the most general form for the static region is a two-sphere with arbitrarily changing radius which moves along the axis of symmetry in a determined way. The geometry of the interior region is completely determined in terms of background objects. When any of the most widely used energy-momentum contents for the interior region is imposed, both the interior geometry and the shape of the static region must become exactly spherically symmetric. This shows that the Einstein-Straus model, which is the generally accepted answer for the null influence of the cosmic expansion on the local physics, is not a robust model and it is rather an exceptional and isolated situation. Hence, its suitability for solving the interplay between cosmic expansion and local physics is doubtful and more adequate models should be investigated.

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