Planets collapsing into black holes?

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SUMMARY

The discussion centers on the theoretical implications of altering the gravitational constant (G) to an extreme value, specifically five-hundred million times larger than its current value. Participants explore how this change would affect the Schwarzschild radius, suggesting it would increase to approximately 60-70% of the planet's radius, potentially leading to immediate collapse. The conversation also clarifies the relationship between GM/c² and the Schwarzschild radius, noting that GM/c² represents a gravitational radius that is half the size of the Schwarzschild radius, which is defined as 2GM/c².

PREREQUISITES
  • Understanding of general relativity and black hole physics
  • Familiarity with the concept of Schwarzschild radius
  • Knowledge of gravitational constant (G) and its implications
  • Basic grasp of gravitational radius and its mathematical representation
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  • Research the implications of changing the gravitational constant in theoretical physics
  • Study the derivation and significance of the Schwarzschild radius in black hole theory
  • Explore the mathematical relationship between GM/c² and Schwarzschild radius
  • Investigate the concept of gravitational radius and its applications in astrophysics
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Astronomers, physicists, and students of theoretical physics interested in black hole formation and the effects of gravity on celestial bodies.

Lamdbaenergy
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If you had a planet with the exact same mass and radius as the Earth, and adjusted the gravity constant to some value five-hundred million times larger, the schwarzschild radius should become considerably big, right? Instead of being about 8 millimeters, it would now be about 60 to 70 percent the radius of the body itself. So would this cause the planet to start collapsing immediately, and just how strong would the gravity have to be to cause the surface of the planet to start falling in on itself?
Also, what does GM/c2 mean compared to 2GM/c2?

I totally know that changing the gravity constant is impossible, let alone to that ridiculously high value.
 
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Yes, if you plug in a different and unphysical value for G, you get a different and unphysical value for R.

Lamdbaenergy said:
Also, what does GM/c2 mean compared to 2GM/c2?

It's half as big. (I think we're missing some context here)
 
Vanadium 50 said:
Yes, if you plug in a different and unphysical value for G, you get a different and unphysical value for R.
It's half as big. (I think we're missing some context here)

Why does the schwarzschild radius have to be twice as big as GM/c2? Is GM/c2 another special kind of radius that is always half the length of the schwarzschild radius? Thanks.
 
I don't think there is anything special about the 2.
 
Never mind the GM/c2 part. I found out that it is called a gravitational radius and it is half as large as the black hole.
 

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