Westmoreland, Shawn Michael2010-12-132010-12-132010-12-13http://hdl.handle.net/2097/6910We 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.en-USOptical black holesSolitonsEffective geometriesNonlinear PDEsNonlinear electrodynamicsEuler-Heisenberg LagrangianDissertationMathematics (0405)