On the area of the symmetry orbits inT2symmetric spacetimes

James Isenberg, Marsha Weaver
2003 Classical and quantum gravity  
We obtain a global existence result for the Einstein equations. We show that in the maximal Cauchy development of vacuum $T^2$ symmetric initial data with nonvanishing twist constant, except for the special case of flat Kasner initial data, the area of the $T^2$ group orbits takes on all positive values. This result shows that the areal time coordinate $R$ which covers these spacetimes runs from zero to infinity, with the singularity occurring at R=0.
doi:10.1088/0264-9381/20/16/316 fatcat:guy6ugip5fd7xnue32njknzct4