Membrane interactions and total mean curvature

Önder, M. and Tucker, Robin (1988) Membrane interactions and total mean curvature. Physics Letters B, 202 (4). pp. 501-504. ISSN 0370-2693

Abstract

The dynamical properties of a time-like hypersurface in Minkowski spacetime are described in terms of a membrane model in which electromagnetic self-stresses are balanced with stresses derived from the shape tensor of the immersion. Radial modes are investigated and in the harmonic approximation a tantalising result emerges for the energy of a harmonic quantum. The particular model is put into the perspective of a class of Willmore-type immersions.