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Please use this identifier to cite or link to this item: http://hdl.handle.net/11129/1355

Title: Existence of reissner - nordström type black hole in f (R) gravity
Authors: Kerachian, Morteza
Keywords: Physics
Black holes - Mathematical models
Reissner - Nordström, f(R Gravity; Black Hole Thermodynamics)
Issue Date: Jul-2013
Publisher: Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ)
Citation: Kerachian, Morteza. (2013). Existence of reissner - nordström type black hole in f (R) gravity. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Physics, Famagusta: North Cyprus.
Abstract: ABSTRACT: We investigate the existence of Reissner-Nordström (RN) type black holes in f (R) gravity. Our emphasis is to derive, in the presence of electrostatic source, the necessary conditions which provide such static, spherically symmetric (SSS) black holes available in f (R) gravity by applying the ”near horizon test” method. In this method we expand all the unknown functions about the horizon and we obtain zeroth and first terms of these fuctions. We also study the Extremal RN type black hole in this framework. In this thesis we show that it seems impossible to have a closed form of f (R) for these types of black holes. Since, finding the total energy is rather difficult we derive the Misner-Sharp (MS) energy in f (R) gravity by using the properties of black hole thermodynamics. Keywords: Reissner-Nordström; f (R) Gravity; Black Hole Thermodynamics. ………………………………………………………………………………………………………………………………………………………………………………………………………… ÖZ: f (R) yerçekim modelinde Reissner-Nordström (RN) tipi karadelik çözümlerinin varlıgı incelenmektedir. Statik elektrik kaynak durumunda static küresel simetrik çözümlere ”ufuk yanı testi” uygulayarak gerekli varlık şartları elde edilmiştir. Bilinmeyen fonksiyonlar ufuk civarında açılımlara tabi tutulup sıfır ve birinci mertebeden denklemler türetilmiştir. Özel bir hal olarak Ekstrem RN çözümünün varlığı da incelenmiştir. Bu tip kara deliklerin f(R) fonksiyonları kapalı bir formda elde edilememiştir. Kara delik termodinamiği kullanılarak Misner-Sharp (MS) türü enerji tanımı yöntemimizde esas alınmıştır. Anahtar Sözcükler: Reissner-Nordström, f (R) Çekim Kuramı, Kara Delik Termodinamiği.
Description: Master of Science in Physics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Physics, 2013. Supervisor: Prof. Dr. Mustafa Halilsoy.
URI: http://hdl.handle.net/11129/1355
Appears in Collections:Theses (Master's and Ph.D) – Physics

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