Does the gravitational pull exerted by a body depend upon its density (account for general relativity too). If not, then why do black holes form. Stars when they collapse have the same mass and do not gain any mass, just their density increases to infinity, therefore it's gravitational pull should be the same as when it is a normal star.(This question is not from school, but for personal knowledge, please post an answer in your own words and no spam)
Answers
I am answering this question in terms of newtonian mechanics....since this gives pretty good intuition ...so u are basically asking why gravity is stronger near a denser object ....
Let's consider a sphere of mass m1 and radius r ....for an object m2 on the surface of the sphere experiences a force equals Gm1m2÷r^2 (shell theorem )
Now let's say that the sphere condenses to 1/1000 of its radius(mass remains same)...now the gravitational force felt is Gm1m2÷(r/1000)^2 ie 10^6 times the initial gravity .......radius decreases means volume decreases that is density increases........this is what happens when a star becomes black hole ....more gravitational field means there is a huge curvature of space time fabric
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