How Can Maxima Help Solve 2+1 BTZ Black Hole Metric Calculations?

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Discussion Overview

The discussion revolves around the calculations related to the 2+1 BTZ black hole metric, specifically focusing on the use of Maxima for solving tensor elements. Participants are seeking assistance with the methodology for deriving the metric solution from the Einstein equations, including calculations of Christoffel symbols, Ricci tensors, and the Einstein tensor.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested, Homework-related

Main Points Raised

  • One participant inquires about the use of Maxima for calculations related to the 2+1 BTZ black hole metric and seeks help with tensor calculations.
  • Another participant provides a link to a relevant paper, suggesting it may contain useful information.
  • A participant mentions their experience calculating Christoffel symbols and Ricci tensors by hand and using Maple, noting that their calculations were for a case with zero cosmological constant.
  • There is a request for clarification on how to handle large tensors that complicate calculations.
  • A participant offers to assist by looking up their previous calculations and asks for specifics on the values needed and the problems encountered.

Areas of Agreement / Disagreement

Participants express a willingness to assist and share experiences, but there is no consensus on the specific methodologies or challenges faced in the calculations. Multiple approaches and tools are mentioned, indicating a variety of perspectives on the problem.

Contextual Notes

Some limitations may arise from the assumptions regarding the cosmological constant, as one participant's calculations were based on a zero cosmological constant scenario, which may differ from the original inquiry.

Canopus
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Hello mates!

this one is my starting post.

anyone here who is working or did work on 2+1 BTZ black hole, on its metric solution?
have you used Maxima to do maths solutions of tensor elements?
I am in need of some help with calculation.


Regards.
 
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Thanks PAllen. :)
I am doing its calculation, (Christoffel symbols, Ricci Tensors n Scalar, Einstein TensorS) and then have to show the methodology of getting the metric solution from Einstein equation. here I m facing some prob, if there anyone who already went through its calculation by hand or by Maxima, can answer me some question, like,,,, what should we do when a big size tensors make the calculation uneasy!
here is my query :)
 
Just came across your post. If you are still interested, probably I may be of some assistance: just recently I've dealt with a problem of https://www.physicsforums.com/showthread.php?t=442930". I've calculated those values you look for: Christoffel symbols, Ricci tensors, etc, first by hand and then checking them in Maple.
And here is https://www.physicsforums.com/showpost.php?p=2960035&postcount=4" related to the problem.

But all that is for zero cosmological constant; your case may be different. However, no substantial difficulties should arise if we assume [itex]\Lambda[/itex] to be nonzero.
 
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Thanking you Zinger0.
I missed it during that time! But still it will help me. Catch you later again! :)
 
I've worked on this problem quite a while ago, but I can try to dig up the calculations. So, what values are you interested in - just those you've mentioned in your previous post? And could you specify the problem you've encountered; since many computer programs can calculate those values if you just define the metric.
 

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