Investıgatıons of The Equıvalence of The Brane-Based and The Bulk-Based
Solutıons In Brane-World Models
There are two different approaches to handle brane-world models: brane-based or bulk-based. In the brane-based approach, the brane is chosen to be fixed on a coordinate system, whereas in the bulk-based approach it is no longer static as it moves along the extra dimension.
We first present mathematical background of brane-world models and then construct the formulas for the most generalized representation of static anisotropic model providing the transformation of the bulk-based approach to the brane-based one. It was shown that our results cover the solutions in [33] which explores the equivalence metric of Scw-AdS space-time. At the end of driven calculations, we find that the equivalence of the most general anisotropic bulk-based metric is an anisotropic metric in the form of Gaussian Normal Coordinates.
To illustrate the implications of transformation, we investigate corresponding versions in brane-based approach of two different bulk-based models which one of them is isotropic and chosen from literature while the other is anisotropic and found solutions by us. At the end of study, we give a detailed explanation for both of two approaches by comparing other models in literature.
ÜZAR Neslihan
Danışman :Doç. Dr. Ekrem Aydıner
Anabilim Dalı :Fizik
Programı (Varsa) :Katıhal Fiziği
Mezuniyet Yılı :2013
Tez Savunma Jürisi :Doç. Dr. Ekrem Aydıner
Prof. Dr. K. Gediz Akdeniz
Prof. Dr. Nurten Öncan
Prof. Dr. Hasan Tatlıpınar
Prof. Dr. Kubilay Kutlu
Klasik ve Kesirli Yaklaşım Temelinde Etkileşimli Bozon Gazlarının Bose-Einstein Yoğuşması ve
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