The volume charge density for a conducting ellipsoid is expressed in simple geometrical
terms, and then used to obtain the known surface charge density as well as the uniform …

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 such that …

We compute exterior Green functions for equipotential, grounded hyperspheres in N-
dimensional electrostatics by squashing Riemannian wormholes, where an image charge is …

We revisit an old subject to discuss relationships between the dynamics for particles
subjected to potentials and the dynamics for particles moving freely on background …

A thin-shell wormhole is crafted by the cut-and-paste method of two Bardeen-de Sitter black
holes using the Darmois-Israel formalism. Energy conditions are considered for different …

This is an investigation into the exact forms of images of point charges in 2D conducting
ellipses and 3D prolate spheroids. For an ellipse with an exterior point source, we compare …

This dissertation consists of three chapters based on research papers written in
collaboration with my doctoral adviser. The parts are unified into a whole by a common …

Electrostatic Green functions for grounded equipotential circular and elliptical rings, and
grounded hyperspheres in n-dimension electrostatics, are constructed using Sommerfeld's …