Spacetime for an anti-black hole?

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The discussion centers on the visualization of spacetime curvature around black holes, specifically questioning whether it can resemble a steep mountain rather than the traditional funnel shape. Participants assert that such a representation would imply anti-gravity, which contradicts current physics. They clarify that while adjacent black holes can create a steep gravitational potential, the overall shape remains funnel-like, not mountain-like. The consensus is that spacetime curvature around black holes does not support the mountain analogy.

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So we often see visualizations of what the space time curvature of a black hole looks like, as in a funnel. http://www.astrosociety.org/pubs/mercury/9802/images/embedding.gif
But are there any predictions or observations of space time curvature looking like a really steep mountain whose peak would be like a black-hole's singularity?
Thanks in advance.
 
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MadViolinist said:
But are there any predictions or observations of space time curvature looking like a really steep mountain whose peak would be like a black-hole's singularity?
Thanks in advance.
No. To be represented as a mountain as opposed to a funnel, it would be representing anti-gravity. There is no such thing as far as our current physics knows.
 
I agree with Dave's post, and this isnot what you probably had in mind, but if you have two adjacent black holes, you can conjure up 'STEEP' mountain of gravitational potential of sorts as you climb out of one and travel towards the other. Likewise from one neutron star to another one nearby.
 
Naty1 said:
I agree with Dave's post, and this isnot what you probably had in mind, but if you have two adjacent black holes, you can conjure up 'STEEP' mountain of gravitational potential of sorts as you climb out of one and travel towards the other.
But neither of those are mountains. You are climbing out of one funnel and down another.

And you would get just as steep a climb with one black hole as you would with two (actually, less see diagram), so I don't follow.
 

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