Simetrik Uzayların Sigma Modellerinde Ters Saçılma Dönüşüm Tekniği

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Prof. Dr. EMİNE AYŞE KARASU

Tez Türü: Yüksek Lisans

Tezin Yürütüldüğü Kurum: Orta Doğu Teknik Üniversitesi, Fen Edebiyat Fakültesi, Fizik Bölümü, Türkiye

Tez Danışmanı: Prof.Dr. Ahmet Eriş

Tezin Onay Tarihi: 1983

Tezin Dili: İngilizce

Özet:

In this work, the inverse scattering technique of Belinskii and Zakharov for the integration of stationary axially symmetric vacuum Einstein equations is considered. It is shown that the solution of a different reduction problem enables one to apply the technique to generate the solutions of the field equation for nonlinear sigma models on symmetric spaces. As an example, the formulation of the stationary axially symmetric vacuum Einstein equations as a  SU(1,1) / U(1) sigma model is considered and the one-soliton solution is explicitly constructed.