Certain families of razor-thin disk surface densities based on beta distributions and relatives produce gravitational potentials equivalent to linear mass distributions, often via single quadratures or closed forms.
The translation symmetry implies that the po- tential due to the uniform infinite plane must be a function of the height alone
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
fields
physics.class-ph 1years
2026 1verdicts
UNVERDICTED 1representative citing papers
citing papers explorer
-
Potentials of axisymmetric razor-thin disks
Certain families of razor-thin disk surface densities based on beta distributions and relatives produce gravitational potentials equivalent to linear mass distributions, often via single quadratures or closed forms.