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Please use this identifier to cite or link to this item: http://hdl.handle.net/11129/6468

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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