Numerically Solving GRT Problems - Textbook/Article Recommendation

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Discussion Overview

The discussion revolves around recommendations for textbooks or articles that focus on numerically solving problems in general relativity, particularly in scenarios such as a planet orbiting binary stars or the sun and Jupiter in the solar system.

Discussion Character

  • Exploratory, Technical explanation

Main Points Raised

  • One participant requests recommendations for resources on numerically solving general relativity problems.
  • Another participant suggests a specific document, noting it is more comprehensive than a typical textbook.
  • A participant expresses difficulty accessing the suggested document due to browser security warnings and requests an alternative link.
  • A later reply provides a different link to the same notes via arxiv, highlighting the author's expertise in numerical relativity.
  • Another participant mentions that full numerical relativity is primarily necessary for strong gravity scenarios, suggesting that post-Newtonian (PPN) methods are sufficient for the situations initially described, and references a chapter that discusses these methods.
  • Further recommendations include another document by the same author, indicating it as a good starting point.

Areas of Agreement / Disagreement

Participants generally agree on the need for resources related to numerical solutions in general relativity, but there are differing opinions on the necessity of full numerical relativity versus PPN methods for the scenarios mentioned.

Contextual Notes

Some participants note limitations in accessing certain resources due to browser security settings, and there is an emphasis on the context in which different methods are applicable, particularly regarding strong gravity versus nearly Newtonian situations.

exmarine
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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?
 
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exmarine said:
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
 
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!
 
exmarine said:
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.
 
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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
 
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