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Title: | Geodesics of BTZ Black Hole and Black Holes in Minimal Massive Gravity |
Authors: | Güllü, İbrahim (Co-Supervisor) Sakallı, İzzet (Supervisor) Sertkan, Nazım Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Physics |
Keywords: | Thesis Tez Physics Department Black Holes--Physics General Relativity BTZ Minimal Massive Gravity Black Hole Geodesic |
Issue Date: | Sep-2021 |
Publisher: | Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ) |
Citation: | Sertkan, Nazım. (2021). Geodesics of BTZ Black Hole and Black Holes in Minimal Massive Gravity. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Physics, Famagusta: North Cyprus. |
Abstract: | In this thesis, we study to derive the equation of motion for the geodesics of the 3
dimensional (3D) charged BTZ black hole and also geodesics of the black holes in the
minimal massive gravity (MMG) theory at its merger point. The motions of the
massless and massive particles are going to be study by using the Lagrangian equation.
Then we are going to focus on null and time-like geodesics solutions.
After finding the Euler-Lagrange equations, we are going to investigate the radial
motions of the geodesics. For this purpose, we are going to study to find the exact
analytical solutions of the geodesic equations.
At the end, we perform some numerical simulations to plot graphs for displaying the
geodesics. ÖZ :
Bu tezde, 3 boyutlu yüklü BTZ kara deliğinin ve ayrıca birleşme noktasında minimal
massif kütle çekim teorisindeki kara deliklerin jeodezikleri için hareket denklemlerini
araştırıyoruz. Kütlesiz ve kütleli parçacıkların hareketleri Lagrange denklemi
kullanılarak incelenecektir. Daha sonra ışık ve zaman benzeri jeodezik çözümlere
odaklanacağız.
Euler-Lagrange denklemlerini bulduktan sonra jeodeziklerin radyal hareketlerini
inceleyeceğiz. Bu amaçla jeodezik denklemlerin kesin analitik çözümlerini bulmaya
çalışacağız.
En sonunda, jeodeziklerin görüntülerini oluşturmaya yardım edecek grafikler çizmek
için bazı sayısal simülasyonlar yapıyoruz. |
Description: | Master of Science in Physics. Institute of Graduate Studies and Research. Thesis (M.S.) - Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Physics, 2021. Co-Supervisor: Assoc. Prof. Dr. İbrahim Güllü and Supervisor: Prof. Dr. İzzet Sakallı |
URI: | http://hdl.handle.net/11129/6468 |
Appears in Collections: | Theses (Master's and Ph.D) – Physics
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