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On the area of the symmetry orbits in $T^2$ symmetric spacetimes with Vlasov matter

Marsha Weaver
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Abstract

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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Marsha Weaver. 2004-02-03. On the area of the symmetry orbits in $T^2$ symmetric spacetimes with Vlasov matter. https://doi.org/10.1088/0264-9381%2F21%2F4%2F023

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