Simulating GR: Worth the Effort?

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Discussion Overview

The discussion centers around the value of simulating phenomena in general relativity (GR) and whether it is worth the effort compared to focusing on theoretical aspects. Participants explore the relevance of numerical methods in the context of current research and the computational challenges involved.

Discussion Character

  • Exploratory
  • Technical explanation
  • Debate/contested

Main Points Raised

  • One participant questions whether studying simulation methods in GR is beneficial or if it might distract from theoretical study, noting their basic programming skills in Python and Julia.
  • Another participant argues that the current interest in numerical calculations in GR is significant due to the recent observability of gravitational waves, suggesting that this makes it a timely area for exploration.
  • Several participants mention resources for learning numerical relativity, including tutorials by Luciano Rezzolla, indicating that these could be valuable for beginners.
  • There is a suggestion that numerical methods are essential when theoretical or mathematical approaches do not yield results, emphasizing the complexity and resource demands of detailed simulations.
  • A participant highlights the importance of computational skills in modern physics, suggesting that they should not be undervalued.

Areas of Agreement / Disagreement

Participants express varying opinions on the balance between simulation and theoretical study, with some advocating for the importance of computational methods while others remain uncertain about their necessity. No consensus is reached regarding the overall value of simulation in the context of GR study.

Contextual Notes

Participants mention the complexity and resource requirements of simulations, as well as the potential for varying levels of detail in simulations. There is also a reference to the evolving nature of the field, particularly in relation to gravitational wave research.

accdd
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I know that simulation of phenomena in general relativity is computationally complex. However, simulating the phenomena you are studying often helps. In your opinion, should I study methods to simulate what happens in relativity? Is it worth it? Or would it distract me from the theoretical aspects?
I only know the basic programming in python and julia.
I am studying GR from Carroll's book.
 
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I'd say, if you are interested in numerical calculations in physics, it's a great time to do this in the field of general relativity right now. This field is "quite hot" at the moment due to the observability of gravitational wave signals from neutron-star mergers. It's also a fascinating, broad topic of (theoretical) physics, involving relativistic hydrodynamics and magnetohydrodynamics as well as the equation of state of nuclear matter (high-energy nuclear physics) with close relations to heavy-ion physics as explored at the LHC, RHIC and in the near future close to my home at FAIR.

Here's the website of my astrophysical colleagues, working in this field:

https://relastro.uni-frankfurt.de/
 
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vanhees71 said:
Here's the website of my astrophysical colleagues, working in this field:

https://relastro.uni-frankfurt.de/

I love the ITP Calendar for Upcoming Events... :smile:

1654007562016.png
 
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When results can’t easily be obtained by pure theoretical or mathematical methods, then (apart from actually building the system or finding the system and taking measurements of it) numerical methods are likely your only way to make progress.

Certainly, a detailed simulation (of any system) has a lot of complexity and may require many resources… but not every simulation has to be that detailed.

Here’s a new book by a colleague that may be helpful:
Numerical Relativity: Starting from Scratch
Baumgarte & Shapiro
https://www.cambridge.org/core/book...rom-scratch/FB5B832C4ED8EFE65A5834C6D6D4657D#

In my opinion, computation is a valuable skill not to be underestimated or undervalued, especially these days.
 
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