MATLAB Visualizing Robertson-Walker Metric in MATLAB/Maple

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The discussion centers on visualizing the Robertson-Walker metric and its rotating variant, specifically in the context of cosmology. The user seeks guidance on how to plot these metrics, particularly focusing on the spatial aspects. They provide the mathematical formulation of the rotating Robertson-Walker metric, which includes parameters such as angular velocity (ω) and scale factor (a). The conversation also touches on the need for software tools like MATLAB or Maple to achieve this visualization. Additionally, there is a query about the origins of the rotating metric, indicating an interest in its theoretical background and implications in cosmological 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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