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.).(adsbygoogle = window.adsbygoogle || []).push({});

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?

Where's the best place to find out about this stuff?

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Singularity theorms and perturbation from exact symmetry

**Physics Forums | Science Articles, Homework Help, Discussion**