# Singularity theorms and perturbation from exact symmetry

1. Mar 18, 2012

### julian

The singularity theorems apply to situations away from exact symmetry ... away from Schwarzschild solution or Friedmann solutions for example. There are a number of accounts of the singularity theorems but none addressing the problem of proving a 'trapped set' still persists after slight perturbation away from exact symmetry (except maybe Hayking and Ellis? Difficult book to read.).

Should I read more about the Cauchy problem for GR and on how solutions depend continuously on the initial conditions to find out if trapped surfaces still exist away from exact symmetry?