Exploring 2+1 BTZ Black Hole: Maxima Math Solutions & Calculations

[Canopus]

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.

 

[PAllen]

This may be a lot more than you want...

http://arxiv.org/abs/gr-qc/0503022

 

[Canopus]

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 :)

 

[Zinger0]

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 $\Lambda$ to be nonzero.

 

[Canopus]

Thanking you Zinger0.
I missed it during that time! But still it will help me. Catch you later again! :)

 

[Zinger0]

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.