Gravitational Conditions: Dust Cloud vs Black Hole

AI Thread Summary
The discussion centers on the gravitational effects of a dust cloud versus a black hole at a distance of 20 units from each mass. It concludes that, according to the Schwarzschild solution, the gravitational influence outside the original radius remains unchanged regardless of whether the mass is a dust cloud or a black hole, as long as spherical symmetry is maintained. The Schwarzschild solution focuses on the curvature of space in the vacuum surrounding these mass distributions. Therefore, no additional gravitational effects occur outside the original radius after a star collapses into a black hole. The conversation highlights the consistency of general relativity in describing gravitational conditions.
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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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