Minimum value of g for blackhole

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SUMMARY

The minimum value of gravitational acceleration (g) for a black hole is determined by the equation g > c²/2r, where c represents the speed of light and r is the Schwarzschild radius. There is no upper limit on g; rather, it is the gravitational potential that is significant, defined classically as g multiplied by R. The relationship between mass and radius also plays a critical role, as it connects the product of mass and g to the constraints on black hole formation.

PREREQUISITES
  • Understanding of escape velocity and its formula
  • Familiarity with the concept of Schwarzschild radius
  • Basic knowledge of gravitational potential energy
  • Comprehension of the relationship between mass, radius, and gravitational acceleration
NEXT STEPS
  • Research the derivation of the Schwarzschild radius in general relativity
  • Explore the implications of gravitational potential in astrophysics
  • Study the relationship between mass and gravitational acceleration in black holes
  • Investigate the concept of escape velocity in different celestial bodies
USEFUL FOR

Astronomers, physicists, and students studying general relativity and black hole mechanics will benefit from this discussion.

spidey
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escape velocity v = (2gr)^1/2
for black hole,
(2gr)^1/2 > c
g > c^2/2r

Now wat could be the minimum value of g for black hole
 
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There is no limit on g, it's the potential that counts, relative to c2/2. The potential is given classically by g*R, so the constraint is on the product of g and the Schwarzschild radius of the black hole. That's also the ratio of the mass to the radius, or the product of mass and g.
 
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