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How to calculate rotation and spin coefficients of tetrads in SageMath?

asked 2024-07-01 16:16:21 +0200

AKGSage gravatar image

updated 2024-07-01 16:19:15 +0200

I'm trying to reproduce the results of this paper where the author calculates the Ricci rotation and spin coefficients with Mathematica, when provided a metric and a choice of tetrads. I looked through the literature and references of SageMath and I couldn't find any mention of tetrad methods.

I came across this post in this forum from 3 years ago where the answer mentions that general tetrads are implemented but spin coefficient methods are not. It links to the documentation page with a lot of info and since I'm an amateur in SageMath, I'm finding it very difficult to understand what needs to be done. Can anyone help me with how to do this or maybe refer me to a notebook example where this is done? Please let me know. Thanks.

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I think it is not implemented in SageMath yet. However, you can use https://www.wolframcloud.com/ with the free basic plan option and try the Mathematica codes in the article you mentioned.

tolga gravatar imagetolga ( 2024-07-01 20:54:37 +0200 )edit

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answered 2024-07-02 00:34:31 +0200

eric_g gravatar image

updated 2024-07-02 00:43:02 +0200

A SageMath notebook implementing the computation of Ricci rotation coefficients and spin coefficients (both Newman-Penrose and GHP ones) is posted here. The functions ricci_coef, spin_coef_NP and spin_coef_GHP defined in this notebook should be implemented in SageMath source code at some point...

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Eric, this is great! I have missed that notebook. I will contribute soon.

tolga gravatar imagetolga ( 2024-07-02 05:54:41 +0200 )edit

This is exactly what I was looking for. Thanks a lot Prof. Eric, I'll try it out.

AKGSage gravatar imageAKGSage ( 2024-07-02 15:02:44 +0200 )edit

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Asked: 2024-07-01 16:16:21 +0200

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Last updated: Jul 02