38 citations · 140 across the 19 of their papers we have counts for
5 papers · 1 filter
Newtonian Gravity on an N-Sphere
T Curtright, H Alshal
We consider some elementary features of Newtonian gravity, or electrostatics, as defined on an N-sphere. In particular, we present and discuss "the shell theorem" for this system.
Green Functions, Sommerfeld Images, and Wormholes
Hassan Alshal
Electrostatic Green functions for grounded equipotential circular and elliptical rings, and grounded hyperspheres in n-dimension electrostatics, are constructed using Sommerfeld's…
Image Charges Re-Imagined
H Alshal, T Curtright, S Subedi
We discuss the grounded, equipotential ellipse in two-dimensional electrostatics to illustrate different ways of extending the domain of the potential and placing image charges suc…
Grounded Hyperspheres as Squashed Wormholes
H Alshal, T Curtright
We compute exterior Green functions for equipotential, grounded hyperspheres in N-dimensional electrostatics by squashing Riemannian wormholes, where an image charge is placed in t…
The Conducting Ring Viewed as a Wormhole
T Curtright, H Alshal, P Baral +5
We compute the exterior Green function for a grounded equi-potential circular ring in two-dimensional electrostatics by treating the system geometrically as a "squashed wormhole" w…