Subject: “Exact Solutions in General Relativity”
Date: Sat, 31 May 2008 11:05:43 EDT
To Dave Feustel
If one googles this entry there is a Wikipedia page with thirty six sub-pages describing various exact solutions which can be run through the Maxima code. We already evaluated several of them in paper 93, but there are new ones here. I am particularly interested in
1) The rotating vacuum Ozvath Schucking solution 2) AdS black hole.
The former in cartesian coordinates is:
ds squared = -2((x squared - y squared) cos (2f) - 2 x y sin (2f)) c squared dt squared + dx squared + dy squared - 2 dt dz
The latter in spherical polar coordinates is
ds squared = -((kr) squared + 1 - C / r) c squared dt squared + 1 /(((kr) squared + 1 - C / r)) dr squared + r squared d cap omega squared
We should see whether these survive the tests of the Maxima code, in particualr the dual identity test. You could gradually go through all of these solutions. Probably they will all fail the dual identity test with teh possible exception of the vacuum solutions.