Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-08-17
Class.Quant.Grav. 21 (2004) 1079-1098
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
27 pages, version 2 minor changes and corrections
Scientific paper
10.1088/0264-9381/21/4/023
This paper treats the global existence question for a collection of general relativistic collisionless particles, all having the same mass. The spacetimes considered are globally hyperbolic, with Cauchy surface a 3-torus. Furthermore, the spacetimes considered are isometrically invariant under a two-dimensional group action, the orbits of which are spacelike 2-tori. It is known from previous work that the area of the group orbits serves as a global time coordinate. In the present work it is shown that the area takes on all positive values in the maximal Cauchy development.
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