A two-mass expanding exact space-time solution |
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Authors: | Jean-Philippe Uzan George F R Ellis Julien Larena |
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Institution: | (1) Dept. Chemistry, University of Pretoria, 0002 Pretoria, South Africa |
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Abstract: | 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. |
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Keywords: | |
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