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Scalar and vector potentials in electromagnetism. The scalar potential is potential energy per unit charge. For potential energy, use the [potential-energy] tag.

1 vote
0 answers
124 views

Convergence of Gravitational Potential with continuous mass distribution

Wikipedia lists the gravitational potential as $$V(\vec{x})=-\int_{\mathbb{R}^3} \frac{\rho(\vec{r})G}{|\vec{x}-\vec{r}|} dv(\vec{r}) $$ with $dv(\vec{r})$ the volume element, G the gravitational constant …
Harald's user avatar
  • 761
2 votes
1 answer
181 views

Gravitational potential of an approaching mass

Let $\Phi(0, t)$ be the gravitational potential at the origin and $t$ the clock ticking at infinity, i.e. not influenced by any gravitation. … Short Version What is the time dependent gravitational potential at the origin when a mass approaches it with constant velocity in terms of General Relativity. …
Harald's user avatar
  • 761
1 vote
2 answers
1k views

Gravitational potential inside a long but finite cylinder

How can the gravitational potential (not the gravitational field) inside the cylinder be derived. … But this does not mean the potential is zero, its just constant. Is there a simple formula for it? …
Harald's user avatar
  • 761
1 vote

Gravitational potential inside a long but finite cylinder

For a start lets concentrate on the gravitational potential for a point $\vec{x}$ in the middle of the bore hole. … along the cylinder axis like this: One can imagine, that the longer the cylinder gets, the closer comes the potential to a constant along the axis of the cylinder. …
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