VORTEX FLOW INSIDE THE DEEP SPHERICAL DIMPLE

Singularity deep inside the spherical charged black hole core

We study analytically the spacelike singularity inside a spherically-symmetric, charged black hole coupled to a self-gravitating spherical massless scalar field. We assume spatial homogeneity, and find a generic solution in terms of a formal series expansion. This solution is tested against fullynonlinear and inhomogeneous numerical simulations. We find full compliance between our analytical so...

Ergodic Coordinates for a Perturbed Hill's Spherical Vortex Flow

Vector spherical quasi-Gaussian vortex beams.

Model equations for describing and efficiently computing the radiation profiles of tightly spherically focused higher-order electromagnetic beams of vortex nature are derived stemming from a vectorial analysis with the complex-source-point method. This solution, termed as a high-order quasi-Gaussian (qG) vortex beam, exactly satisfies the vector Helmholtz and Maxwell's equations. It is characte...

Controllable vortex chirality switching on spherical shells

Lennard-Jones Potential inside a Spherical Cavity

The Lennard-Jones potential for an atom inside a conducting spherical cavity is derived. The interest is in possible anomalous effects near the focal point of a cavity viewed as a spherical mirror. We find a smooth dependence of the potential on the distance of the atom from the surface of the cavity. 1 Plane Mirror and the C3 coefficient Let us consider first a plane mirror, assumed to lie in ...