Damping Oscillatory Models In General Theory of Relativity için kapak resmi
Damping Oscillatory Models In General Theory of Relativity
Başlık:
Damping Oscillatory Models In General Theory of Relativity
Yazar:
Tığrak Ulaş, Esra
Yazar Ek Girişi:
Yayın Bilgileri:
[s.l.]: [s.n.], 2007.
Fiziksel Tanımlama:
xi, 175 leaves.: ill.+ 1 computer laser optical disc.
Özet:
In my thesis we have studied the universe models as dynamical systems which can be represented by harmonic oscillators. For example, a harmonic oscillatior equation is constructed by the transformation of the Riccati differential equations for the anisotropic and homogeneous metric. The solution of the Friedman equations with the state equation satisfies both bosonic expansion and fermionic contraction in Friedman Robertson Walker universe with different curvatures is studied as a conservative system with the harmonic oscillator equations. Apart from the oscillator representations mentioned above (constructed from the universe models), we showed that the linearization of the Einstein field equations produces harmonic oscillator equation with constant frequency and the linearization of the metric on the de-Sitter background produces damped harmonic oscillator system. In addition to these, we have constructed the doublet and the Caldirola type oscillator equations with time dependent damping and frequency terms in the light of the Sturm Liouville form. The Lagrangian and Hamiltonian functions are calculated for all particular cases of the Sturm Liouville form. Finally, we have shown that zeros of the oscillator equations constructed from the particular cases can be transformed into pole singularities of the Riccati equations.
Yazar Ek Girişi:
Tek Biçim Eser Adı:
Thesis (Master)--İzmir Institute of Technology:Mathematics.

İzmir Institute of Technology:Mathematics--Thesis (Master).
Elektronik Erişim:
Access to Electronic Version.
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