Nonlinear Electromagnetics in Flat and Curved Spacetime

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Eastern Mediterranean University (EMU)

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ABSTRACT: In the framework of the non-linear electrodynamics, we introduce a new Lagrangian with Maxwell limit which admits a regular electric field and electric potential at the origin. In static spherically symmetric spacetime we couple non-minimally the latter Lagrangian with the gravity in 3, 4 and higher dimensions separately to find the black hole solutions. We emphasize in this thesis that this new Lagrangian is easier to be used in some practical cases such as hydrogen atom due to the simple form of the electric potential of a point charge. Keywords: Born-Infeld, NED, Non-linear Lagrangian, Black hole solution. …………………………………………………………………………………………………………………………………………………………………………………………………………………… ÖZ: Doğrusal olmayan elektrodinamik kapsamında Maxwell limitine sahip, merkezde düzenli elektrik ve potansiyel alan içeren yeni bir Lagrange fonksiyonu sunuluyor. Statik, Küresel simetrik uzayda yerçekimine minimal olmayan şekilde bağlanan 3 ve 4 boyutlu uzaylarda karadelik çözümleri elde ediliyor. Sunduğumuz modelin birçok bakımdan örneğin hidrojen atom model potansiyeli gibi, daha kullanışlı olacağına vurgu yapılıyor. Anahtar Kelimeler: Born-Infeld, NED, Doğrusal olmayan Lagrange fonksiyonu, Karadelik Çözümleri.

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Master of Science in Physics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Physics, 2012. Supervisor: Assist. Prof. Dr. S. Habib Mazharimousavi.

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Physics, Electromagnetism., Born-Infeld - NED - Non-Linear Lagrangian - Black Hole Solution

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Alizadeh, Yashar. (2013). Nonlinear Electromagnetics in Flat and Curved Spacetime. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Physics, Famagusta: North Cyprus.

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