2005/05/18 by Brien C. Nolan, Brien C Nolan, Raül Vera +1
Physics and Astronomy · #Axial symmetry #Black Holes and Theoretical Physics #Circular symmetry #Cosmology and Gravitation Theories #Friedmann–Lemaître–Robertson–Walker metric #Noncommutative and Quantum Gravity Theories #Rotational symmetry #Spacetime #Spherically symmetric spacetime #Symmetry (geometry) #Uniqueness #gr-qc
paper · pdf · doi:10.1088/0264-9381/22/19/014
published as Class.Quant.Grav. 22 (2005) 4031-4050 · 24 pages. Submitted to CQG
arxiv created 2005/05/18 · openalex publication_date 2005/09/19 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The study of the matching of stationary and axisymmetric spacetimes with Friedmann–Lemaître–Robertson–Walker (FLRW) 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.