Tagged Questions
2
votes
3answers
137 views
Is Newtonian gravity consistent with an infinite universe? [duplicate]
Let us assume that we have have an infinite Newtonian space-time and the universe is uniformly filled with matter of constant density (no fluctuations whatsoever), all of it at rest. By symmetry, the ...
2
votes
1answer
118 views
Newtonian Gravity on a Riemannian $3$-Manifold
To solve the Poisson equation for the Newton Potential, say $\phi$, one can use the divergence theorem, such that
$$\int_U \nabla^2 \phi \sqrt{g}~ dV= \int_{\partial U} <\nabla \phi,n> ...
1
vote
1answer
206 views
Gravity force strength in 1D, 2D, 3D and higher spatial dimensions
Let's say that we want to measure the gravity force in 1D, 2D, 3D and higher spatial dimensions.
Will we get the same force strength in the first 3 dimensions and then it will go up? How about if ...
6
votes
5answers
291 views
Intuitive explanation of the inverse square power $\frac{1}{r^2}$ in Newton's law of gravity
Is there an intuitive explanation why it is plausible that the gravitational force which acts between two point masses is proportional to the inverse square of the distance $r$ between the masses (and ...
13
votes
4answers
505 views
Why are so many forces explainable using inverse squares when space is three dimensional?
It seems paradoxical that the strength of so many phenomena (Newtonian gravity, Coulomb force) are calculable by the inverse square of distance.
However, since volume is determined by three ...
2
votes
1answer
307 views
Formula of Gauss' Law of Gravitation
Gauss's law for Gravitation:
$$\int g\cdot \mathrm{d}S=4\pi GM$$
where $g$ is the gravitational field and $S$ is the surface area.
Am I correct?
0
votes
1answer
245 views
Gauss's Law vs Newton's Law
This is thought experiment. I couldn't get a good answer because I keep getting negative mass.
Gauss's Law say that eletric field is proportional to charge, how much charged is enclosed. Newton's ...
