Spacetime for an anti-black hole?

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Discussion Overview

The discussion revolves around the visualization of spacetime curvature in relation to black holes, specifically questioning whether spacetime could be represented as a steep mountain rather than the typical funnel shape associated with black holes. The scope includes theoretical considerations of spacetime geometry and gravitational effects.

Discussion Character

  • Exploratory
  • Debate/contested

Main Points Raised

  • One participant questions if spacetime curvature could resemble a steep mountain with a singularity at the peak, contrasting with the common funnel representation of black holes.
  • Another participant asserts that a mountain representation would imply anti-gravity, which is not supported by current physics.
  • Some participants suggest that while two adjacent black holes could create a steep gravitational potential as one moves between them, this does not equate to a mountain shape but rather involves transitioning between funnel-like structures.
  • There is a suggestion that the steepness of gravitational potential can be similar whether considering one black hole or two, leading to confusion about the original question.

Areas of Agreement / Disagreement

Participants generally disagree on the possibility of representing spacetime curvature as a mountain. While some acknowledge the steep gravitational potential between black holes, others maintain that this does not align with the mountain analogy.

Contextual Notes

There are unresolved assumptions regarding the nature of spacetime curvature and the implications of anti-gravity, as well as the definitions of steepness in gravitational potential.

MadViolinist
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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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