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0 votes
0 answers
44 views

Is there a deeper relationship between symmetry and gravitational potential comparing Newton's and Einstein's gravity?

In this question, see Why is general relativity in (2+1) dimensions different from cylindrical systems in (3+1) dimensional GR?, it is mentioned "The gravitational potential Φ of an infinite rod ...
timm's user avatar
  • 1,589
1 vote
1 answer
555 views

Gravitational potential inside and outside a spherical shell

Let $\Phi$ denote gravitational potential. This is an example from a book (Classical dynamics, Thornton-Marion). We assume a homogeneous spherical shell. The writer says: We integrate over $d\phi$ in ...
In the blind's user avatar
0 votes
1 answer
84 views

Confusion about interior gravitational potential/force

So I've followed and understood the proof that inside a thin hollow shell the gravitational potential is constant and hence the force is zero, but when applying it to a problem (namely "how does the ...
Johnny's user avatar
  • 163
1 vote
1 answer
429 views

Gravitational potential due to uniform ring [closed]

So i want to find the Gravitational potential caused by a uniform ring with radius $R$ at any point in space. I know the solution of the field should not have any dependence on the azimuthial angle ...
Μπαμπης Ποζουκιδης's user avatar
3 votes
2 answers
4k views

Does gravity get stronger when you climb a mountain?

As stated in the question title, what happens to the strength of the gravitational field (or equivalently, your weight) as you climb a hill or mountain? Would a weighing scale show that you were ...
Greedo's user avatar
  • 161
2 votes
2 answers
2k views

Gravitational potential at the center of a uniform sphere

Feynman in second Messenger Lecture said that potential at the center of ball with small radius $a$ is equal to average potential on surface of ball minus $G$ times mass inside the ball divided by $2a$...
MatFy's user avatar
  • 23
1 vote
0 answers
63 views

Does a spherical potential mean spherical mass distribution? [closed]

I came across this question is Binney & Tremaine's galactic dynamics. I'm pretty sure that the answer is no, but struggling to come up with an example.
Kaan Soravit Yumlu's user avatar