caa a22 4500 445385448 CHVBK 20180317143031.0 cr unu---uuuuu 170323e20110101xx s 000 0 eng 10.1007/s10714-010-1081-6 doi (NATIONALLICENCE)springer-10.1007/s10714-010-1081-6 A two-mass expanding exact space-time solution [Elektronische Daten] [Jean-Philippe Uzan, George Ellis, Julien Larena] In order to understand how locally static configurations around gravitationally bound bodies can be embedded in an expanding universe, we investigate the solutions of general relativity describing a space-time whose spatial sections have the topology of a 3-sphere with two identical masses at the poles. We show that Israel junction conditions imply that two spherically symmetric static regions around the masses cannot be glued together. If one is interested in an exterior solution, this prevents the geometry around the masses to be of the Schwarzschild type and leads to the introduction of a cosmological constant. The study of the extension of the Kottler space-time shows that there exists a non-static solution consisting of two static regions surrounding the masses that match a Kantowski-Sachs expanding region on the cosmological horizon. The comparison with a Swiss-Cheese construction is also discussed. Springer Science+Business Media, LLC, 2010 General relativity nationallicence Exact solution nationallicence Cosmology nationallicence Uzan Jean-Philippe Institut d'Astrophysique de Paris, UMR-7095 du CNRS, Université Paris-VI Pierre et Marie Curie, 98bis bd Arago, 75014, Paris, France aut Ellis George Department of Mathematics and Applied Mathematics, Astrophysics Cosmology and Gravitation Center, University of Cape Town, Rondebosch, 7701, Cape Town, South Africa aut Larena Julien Department of Mathematics and Applied Mathematics, Astrophysics Cosmology and Gravitation Center, University of Cape Town, Rondebosch, 7701, Cape Town, South Africa aut General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/1(2011-01-01), 191-205 0001-7701 43:1<191 2011 43 10714 https://doi.org/10.1007/s10714-010-1081-6 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10714-010-1081-6 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Uzan Jean-Philippe Institut d'Astrophysique de Paris, UMR-7095 du CNRS, Université Paris-VI Pierre et Marie Curie, 98bis bd Arago, 75014, Paris, France aut NATIONALLICENCE 700 1- Ellis George Department of Mathematics and Applied Mathematics, Astrophysics Cosmology and Gravitation Center, University of Cape Town, Rondebosch, 7701, Cape Town, South Africa aut NATIONALLICENCE 700 1- Larena Julien Department of Mathematics and Applied Mathematics, Astrophysics Cosmology and Gravitation Center, University of Cape Town, Rondebosch, 7701, Cape Town, South Africa aut NATIONALLICENCE 773 0- General Relativity and Gravitation Springer US; http://www.springer-ny.com 43/1(2011-01-01), 191-205 0001-7701 43:1<191 2011 43 10714 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer