Optical black holes and solitons

Date

2010-12-13

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

Citation