Visualizing General Relativity with Fluid Analogy

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SUMMARY

This discussion focuses on using fluid analogies to visualize general relativity (GR) more intuitively, moving away from traditional methods like the rubber sheet analogy. The participant expresses a desire to understand the nature of the fluid that could represent spacetime dynamics and how such a visualization might break down. They reference several academic papers and resources that explore fluid analogies and non-fluid analogies, emphasizing the need for a clearer representation of how gravity affects spacetime density. The conversation highlights the potential for animations to convey complex GR concepts more effectively.

PREREQUISITES
  • Understanding of general relativity principles
  • Familiarity with fluid dynamics concepts
  • Basic knowledge of spacetime metrics
  • Experience with visual representation techniques in physics
NEXT STEPS
  • Research fluid dynamics in the context of general relativity
  • Explore the concept of spacetime metrics and their implications
  • Learn about creating visualizations for complex physics concepts
  • Investigate alternative analogies for explaining gravity and spacetime
USEFUL FOR

Physicists, educators, and students interested in visualizing complex concepts in general relativity, as well as anyone seeking alternative methods to understand gravitational effects in spacetime.

lukesfn
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I'm interested in using a fluid analogy of general relativity to more easily visual what is going on in certain situations, without having to resort to visualizing curved 4d space time which is doesn't come to naturally.

However, I don't know relativity quite well enough to understand what the nature of the fluid would be, or even if it is possible to specify a fluid type of metric that can replicate all the effects of GR.

GR is often introduced with the ball rolling on rubber sheet analogy, which I always found more confusing then helpful, because it is meant to show how curved space causes a ball to fall into a dip, but in that analogy, the force of gravity is what pulls the ball down the slope, so it doesn't actually help explain much. It isn't just space that is curved, it is space time.

Instead I have always imagined the idea of space flowing into objects. What I would now like to understand better is, what would be the nature of flow, and where does this analogy break down.

If one was to create an animation, in 2D, of an object, with space flowing into it, how would it look? I imagine that the density of space would change as gravity increases. I would imagine that such an animation would give a much more intuitive idea of what is happening in GR, although, I could imagine some people may not like it because it is suggestive of some time of redundant dynamic ether.
 
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A.T. said:
Thanks a lot, I haven't found these before, but they look quite interesting after some speed reading. Looks like a good starting point. There is some mention of a fluid having a rotation at each point which sounds quite interesting.
A.T. said:
I think I have seen all of these links before. They are what I am trying to avoid. It's easier to imagine objects moving through a stream that is a similar shape to how we conceptualize the world a round us, rather then plotting some kind of geodesic on some strange higher dimensional space time surface it is difficult to relate to. Although, I expect that if you want to do any serious work, that is the way to go. Either way, it is good to be able to visualize things from different points of view.
 

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