AKGSage's profile - activity

I'm using sage version 10.2 on Ubuntu 22.04 WSL on Windows 11. I will try to restart the kernel and re-run all the code

Error occuring in multiprocessing.Pool() I'm trying to learn multiprocessing in SageMath and I picked this wonderful exa

Error occuring in multiprocessing.Pool() I'm trying to learn multiprocessing in SageMath and I picked this wonderful exa

Yes Prof.Eric !! That works, thanks a lot for explaining the technicalities that are very challenging for a beginner to

As the title says, I have defined a manifold and its metric and the coordinates. I have also gotten the Christoffel symbols using christoffel_symbols(). But I cannot seem to find a way to derive the geodesic equations for this system. I'm not sure how to define the affine parameter and I cannot make the derivative operator work on symbolic functions of the coordinates and the Christoffel symbol components.

Is there a way to do this for any given well defined metric? Any help would be great. Cheers!

Can we symbolically derive geodesic equation for a given metric using its Christoffel symbols? As the title says, I have

I'm sorry for the delay in replying. Your package looks very promising, thanks for integrating NP formalism to Sage, it

You have not provided any info that would be helpful for us to guide you.

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

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.

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

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

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

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!

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

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

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

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

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

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

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