On the area of the symmetry orbits in T**2 symmetric space-times

Apr, 2003
23 pages
Published in:
  • Class.Quant.Grav. 20 (2003) 3783-3796
e-Print:

Citations per year

2002200720122017202101234
Abstract: (arXiv)
We obtain a global existence result for the Einstein equations. We show that in the maximal Cauchy development of vacuum T2T^2 symmetric initial data with nonvanishing twist constant, except for the special case of flat Kasner initial data, the area of the T2T^2 group orbits takes on all positive values. This result shows that the areal time coordinate RR which covers these spacetimes runs from zero to infinity, with the singularity occurring at R=0.