Gravitational Conditions: Dust Cloud vs Black Hole

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SUMMARY

The discussion centers on the gravitational conditions surrounding a dust cloud and a black hole, specifically comparing their effects at a distance of 20 units. It is established that the Schwarzschild solution, which describes the gravitational field outside a spherical mass, indicates no effect on the curvature of space-time outside the original pre-collapse radius of a star that has collapsed into a black hole. The analysis confirms that both the dust cloud and the black hole exhibit similar gravitational influences at the specified distance, as the solution does not depend on the distribution of matter but rather on spherical symmetry.

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  • General Relativity (GR) fundamentals
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  • Concept of gravitational curvature in vacuum
  • Basic astrophysics regarding stellar collapse
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I am sure to those of you who know GR this will be a simplistic question.
I can only hope there will be a simplistic and definitive answer :-)

Assume a dust cloud of radius=5 and a mass =mc
ANother equivalent mass of condenced matter md=mc
with a radius=1
What would be the relative gravitational conditions at a distance r=20 wrt each of these masses?
In general terms without the need for specific quantification.

The same question in another context.
A star collapses to a black hole; Assuming no mass loss in the collapse what would be the gereral effects outside the original precollapse radius or would there be??

Thanks
 
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No effect. The Schwarzschild solution does not assume a particular distribution of matter, only spherical symmetry. Then it calculates the curvature in the vacuum outside that distribution of matter.
 
DaleSpam said:
No effect. The Schwarzschild solution does not assume a particular distribution of matter, only spherical symmetry. Then it calculates the curvature in the vacuum outside that distribution of matter.
Thanks DaleSpam Couldn't have asked for a simpler or more definitve an answer.
 

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