Optical black holes and solitons
Date
2010-12-13
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Kansas State University
Abstract
We exhibit a static, cylindrically symmetric, exact solution to the Euler-Heisenberg field equations (EHFE) and prove that its effective geometry contains (optical) black holes. It is conjectured that there are also soliton solutions to the EHFE which contain black hole geometries.
Description
Keywords
Optical black holes, Solitons, Effective geometries, Nonlinear PDEs, Nonlinear electrodynamics, Euler-Heisenberg Lagrangian
Graduation Month
December
Degree
Doctor of Philosophy
Department
Department of Mathematics
Major Professor
Louis Crane
Date
2010
Type
Dissertation