B Numerically Solving GRT Problems - Textbook/Article Recommendation

[exmarine]

Can anyone recommend a good textbook or article for numerically solving general relativity problems? Say for a planet orbiting a pair of binary stars, or even for the sun and Jupiter in our solar system?

 

[PAllen]

Can anyone recommend a good textbook or article for numerically solving general relativity problems? Say for a planet orbiting a pair of binary stars, or even for the sun and Jupiter in our solar system?

The following is very good, and more worked out than a textbook.

https://luth.obspm.fr/~luthier/gourgoulhon/pdf/form3p1.pdf

 

[exmarine]

Thanks but my browser (FireFox) refuses to go to that site. Says it is "unsecured" or something. Is there any way you could attach that pdf for me? Thanks!

 

[PAllen]

Thanks but my browser (FireFox) refuses to go to that site. Says it is "unsecured" or something. Is there any way you could attach that pdf for me? Thanks!

Found a much better link, via arxiv, to the same notes:

https://arxiv.org/abs/gr-qc/0703035

I should point out that the author is considered a top expert in numerical relativity.

 

[PAllen]

I should add that full numeric relativity is needed only for strong gravity regimes like inspiral of black holes and/or neutron stars. For nearly Newtonian situations, you use PPN methods; these are fully adequate for the situations you mention. A description of these methods is found in chapter 3 of:

https://arxiv.org/abs/1403.7377

with many references from there.

The following, by the same author is another good starting point:

https://arxiv.org/abs/1102.5192