Visualizing Robertson-Walker Metric in MATLAB/Maple

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SUMMARY

The discussion focuses on visualizing the Robertson-Walker metric, particularly its spatial components, using MATLAB or Maple. The specific metric presented includes a rotating component, defined by the equation ds²=-(1-ω²a²r²sin²θ)dt²+a²[dr²/(1-kr²)+r²dθ²+r²sin²θ dφ²]-2ωa²r²sin²θ dφ dt. Participants are seeking methods to effectively plot this metric and compare it with a standard Robertson-Walker metric. The conversation emphasizes the need for practical visualization techniques in these mathematical software environments.

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  • Understanding of the Robertson-Walker metric in cosmology
  • Familiarity with MATLAB or Maple for mathematical visualization
  • Knowledge of differential geometry and spacetime metrics
  • Basic skills in plotting functions and data in MATLAB or Maple
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  • Research how to implement 3D plotting in MATLAB for complex equations
  • Explore Maple's capabilities for visualizing differential equations
  • Learn about the implications of rotating metrics in cosmology
  • Investigate existing libraries or toolboxes for cosmological simulations in MATLAB
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Researchers in cosmology, physicists interested in general relativity, and students learning about spacetime metrics who want to visualize complex mathematical models.

Ralle
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Hi,
I was wondering if there's any way to plot/visualize a metric (mostly the spatial part). I want to see how the robertson-walker metric differs from a rotating rw-metric;
\begin{align}
ds^2=-(1-\omega^2a^2r^2\sin^2\theta)dt^2+a^2[\frac{dr^2}{1-kr^2}+r^2d\theta^2+r^2\sin^2\theta d\phi^2]-2\omega a^2 r^2\sin^2\theta d\phi dt.
\end{align}
Does anyone know if it can be done in MATLAB or maple (and how)?
 
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Ralle said:
a rotating rw-metric

Where is this metric coming from?
 

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