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2024-07-02 15:02:44 +0200 commented answer How to calculate rotation and spin coefficients of tetrads in SageMath?

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

2024-07-02 14:59:36 +0200 marked best answer How to calculate rotation and spin coefficients of tetrads in SageMath?

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.

2024-07-01 16:19:15 +0200 edited question How to calculate rotation and spin coefficients of tetrads in SageMath?

How to calculate rotation and spin coefficients of tetrads in SageMath? I'm trying to reproduce the results of this pape

2024-07-01 16:16:21 +0200 asked a question How to calculate rotation and spin coefficients of tetrads in SageMath?

How to calculate rotation and spin coefficients of tetrads in SageMath? I'm trying to reproduce the results of this pape

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2024-05-03 12:31:42 +0200 asked a question Defining NP formalism and checking consistency

Defining NP formalism and checking consistency I tried to define a Newman-Penrose tetrad and check the dot products and

2024-03-01 13:30:19 +0200 marked best answer Confused about covariant derivatives and tensors in SageMath

I'm trying to calculate covariant derivatives of tensor fields in SageMath, I established the metric connection using g.connection(). But I cannot find any specific method to calculate the covariant derivatives unlike Lie derivative which is an inbuilt method. I looked up documentations and I found that I have to apply the connection (which is just the christoffel symbol) to the tensor field to calculate its covariant derivative. Is that the correct way or is there an inbuilt method that I'm missing? I tried diff() to calculate partial derivative of a tensor defined on a chart on a manifold but it is not working.

So ultimately I want to know the correct method to calculate partial and covariant derivatives of vector fields and tensors on a manifold.

On a related note, I want to know how to save a tensor quantity which I transformed from one coord to another using Tensor.display_comp(chart=differentOne). This method seems to take the original and just display the terms in a different coord system, how do I save the transformed one as a different tensor defined on the differentOnechart?

Please let me know. Thanks in advance for responding!

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2024-02-29 09:41:15 +0200 commented answer Confused about covariant derivatives and tensors in SageMath

Thanks a lot! This is very helpful. It would be great if you can also explain how to save a coord transformed tensor as

2024-02-27 17:43:07 +0200 edited question Confused about covariant derivatives and tensors in SageMath

Confused about covariant derivatives and tensors in SageMath I'm trying to calculate covariant derivatives of tensor fie

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2024-02-27 17:39:30 +0200 edited question Confused about covariant derivatives and tensors in SageMath

Confused about covariant derivatives and tensors in SageMath I'm trying to calculate covariant derivatives of tensor fie

2024-02-27 17:37:56 +0200 asked a question Confused about covariant derivatives and tensors in SageMath

Confused about covariant derivatives and tensors in SageMath I'm trying to calculate covariant derivatives of tensor fie

2024-02-20 07:20:17 +0200 commented question Comparison between SageMath ODE solvers and Scipy ODE solvers

Okay so I will implement Scipy solvers as I need numerical solutions for my work. Thanks for pointing out the symbolic s

2024-02-19 16:46:11 +0200 asked a question Comparison between SageMath ODE solvers and Scipy ODE solvers

Comparison between SageMath ODE solvers and Scipy ODE solvers I'm pretty new to SageMath and I'm currently trying to wor

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2024-02-13 09:36:52 +0200 asked a question How to make ubuntu launch jupyter(sage) in windows browser?

How to make ubuntu launch jupyter(sage) in windows browser? I installed sagemath in WSL from source. I followed the ste