Optical black holes and solitons

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Optical black holes and solitons

Westmoreland, Shawn Michael

Dissertation

Publication Date: 2010

Graduation Month: December
Degree: Doctor of Philosophy
Department: Department of Mathematics
Major Professor: Louis Crane

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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.

Keywords: Optical black holes; Solitons; Effective geometries; Nonlinear PDEs; Nonlinear electrodynamics; Euler-Heisenberg Lagrangian

URL for this item: http://hdl.handle.net/2097/6910

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