Online Christoffel Symbols Calculator

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Discussion Overview

The discussion revolves around a newly launched online calculator for Christoffel Symbols and associated tensors, aimed at enhancing research in astrophysics. Participants provide feedback, suggestions, and express concerns regarding the software's features and usability, particularly in relation to coordinate systems and output formats.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested
  • Feedback-related

Main Points Raised

  • Some participants express enthusiasm for the calculator and seek feedback to improve its functionality.
  • Concerns are raised about the calculator's insistence on Cartesian coordinates, with requests for support for spherical coordinates (r, θ, φ).
  • One participant notes that the symbols (x, y, z) do not necessarily represent Cartesian coordinates, suggesting they can be interpreted as components of a contravariant vector.
  • Another participant expresses disappointment that many other Einstein calculation packages allow for custom variable names and LaTeX output, which the current software lacks.
  • In response to feedback, the developer indicates plans to implement features allowing users to choose their own coordinate systems and export results to LaTeX in future updates.
  • A reliability test of the software is mentioned, with results provided in a text file, referencing a specific paper for the space-time models used.

Areas of Agreement / Disagreement

Participants generally agree on the need for improvements in the software, particularly regarding coordinate system flexibility and output options. However, there is no consensus on the current limitations of the software, as some participants express satisfaction with the existing features while others highlight significant shortcomings.

Contextual Notes

Limitations include the current restriction to Cartesian coordinates and the absence of LaTeX output, which some users find disappointing compared to other available tools. The discussion also reflects varying expectations regarding software capabilities in the context of mathematical applications.

Who May Find This Useful

This discussion may be useful for developers of mathematical software, researchers in astrophysics, and users interested in computational tools for tensor calculations.

Dhananjhay
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TL;DR
I've launched the very first mathematical web application with a Graphical User Interface (GUI) capable of calculating Christoffel Symbols (both first and second kinds) and associated Tensors (Riemann, Ricci, and Einstein) in a matter of just a few seconds!

Link: https://christoffel-symbols-calculator.com/
I would love to hear from you if you have any suggestions, feedback, or criticism. The goal is to build better and more sophisticated software that would push the boundaries of research in astrophysics!
 
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Thread is in Moderation for review by the Mentors.

UPDATE: After a Mentor discussion, this thread is reopened. Thanks for your patience.
 
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Dhananjhay said:
Link: https://christoffel-symbols-calculator.com/

I would love to hear from you if you have any suggestions, feedback, or criticism.
Me, too. Please check validity and reliability and let us know your results!
 
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Dhananjhay said:
TL;DR Summary: I've launched the very first mathematical web application with a Graphical User Interface (GUI) capable of calculating Christoffel Symbols (both first and second kinds) and associated Tensors (Riemann, Ricci, and Einstein) in a matter of just a few seconds!

Link: https://christoffel-symbols-calculator.com/

How do I change to spherical coordinates, i.e., ##r, \theta, \phi## ?
(Your calculator seems to insist on using Cartesian coordinates.)
 
Thank you for your comment! (x,y,z) don't necessarily represent Cartesian coordinates. They are just symbols (more specifically, components of a contravariant vector) and can be used contingent on your needs. `x` means the the first coordinate, `y` means the second coordinate, and `z` means the third coordinate. In your case, I would just replace `r` by `x`, `θ` by `y`, and `Φ` by `z`. I hope this clears your doubt.
 
Dhananjhay said:
Thank you for your comment! (x,y,z) don't necessarily represent Cartesian coordinates. [...]
Yes, that's what I figured. But,... it's a bit sad. :oldfrown:

Most other Einstein calculation packages allow one to use one's own variables of choice. Many can also generate latex output for, e.g., easy inclusion in publishable papers.
 
Let me see what I can do! But thank you very much for your comment, this is exactly what I needed! I've noted down your concerns and hopefully, in the next release you should have access to the variables of your own choice and a latex output.
 
strangerep said:
Yes, that's what I figured. But,... it's a bit sad. :oldfrown:

Most other Einstein calculation packages allow one to use one's own variables of choice. Many can also generate latex output for, e.g., easy inclusion in publishable papers.
Hello! Thanks to your earlier comment, I've now added a new feature to the software that will allow users to choose the coordinate system of their choice. You can also export the results to LaTeX. Both excellent suggestions/feedback!

A reliability test was conducted on the software and the results have been attached to this comment in a form of a txt file. The space-time models were taken from the paper Catalogue of Spacetimes (Thomas Müller & Frank Grave, Nov 2010).

Please let me know if you have any more suggestions, feedback or criticism!
 

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