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Title: | Geodesics of Linear Dilaton Black Holes |
Authors: | Sakallı, İzzet Hamo, Alan Hameed Hussein Eastern Mediterranean University, Faculty of Arts and Science, Department of physics |
Keywords: | Physics Elliptic Functions Linear dilaton black hole Geodesics WeierstrassP-function |
Issue Date: | Aug-2014 |
Publisher: | Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ) |
Citation: | Hamo, Alan Hameed Hussein. (2014).Geodesics of Linear Dilaton Black Holes. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Physics, Famagusta: North Cyprus. |
Abstract: | In this thesis, we investigate the geodesics of the 4-dimensional (4D) linear dilaton
black hole (LDBH), which is an exact solution to the Einstein-Maxwell-Dilaton
(EMD) theory. These spacetimes have non-asymptotically flat (NAF) geometry. The
motions of massless (null) and massive particles (timelike) are studied via the
standard Lagrangian method. Due to the physical necessities, we do not consider the
spacelike geodesics. After obtaining the Euler-Lagrange (EL) equations, we
separately analyze both radial and circular motions of those geodesics. In the same
line of thought, we perform numerical simulations in order to plot many graphs for
displaying the geodesics. Exact analytical solutions are also obtained for the radial
and the angular geodesic equations. In particular, it is shown that the radial
trajectories are governed by the WeierstrassP-function (-function), which is an
elliptic-type special function.
Keywords: Linear dilaton black hole, Geodesics, WeierstrassP-function. ÖZ:
Bu tezde, Einstein-Maxwell-Dilaton (EMD) teorisinin tam bir çözümü olan 4-
boyutlu (4D) doğrusal dilaton kara deliğinin (LDBH) jeodeziklerini araştırmaktayız.
Bu uzay-zamanları asimptotik düz-olmayan (NAF) geometriye sahiptirler. Kütlesiz
(boş) ve kütleli parçacıkların (zaman-gibi) jeodezik hareketleri standart Lagrange
yöntemi ile incelenmiştir. Fiziksel gereklilikten ötürü, uzay-gibi jeodezikleri dikkate
almadık. Euler-Lagrange (EL) denklemlerini elde ettikten sonra, radyal ve dairesel
jeodeziklerin her ikisini de ayrı ayrı analiz ettik. Bu düşünce doğrultusunda,
jeodeziklerin görüntülenmesi sağlaycak birçok grafik çizebilmek için nümerik
simulasyonlar yaptık. Radyal ve açısal jeodezik denklemleri için tam analitik
çözümler ayrıca elde edilmiştir. Özellikle, radyal yörüngelerin eliptik-tipi özel bir
fonksiyon olan WeierstrassP-fonksiyonu (-fonksiyonu) tarafından yönetildiği
gösterdik.
Anahtar kelimeler: Lineer dilaton kara deliği, Jeodezik, WeierstrassP-fonksiyonu. |
Description: | Master of Science in Physics. Thesis (M.S.)--Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Physics, 2014. Supervisor: Assoc. Prof. Dr. İzzet Sakallı. |
URI: | http://hdl.handle.net/11129/3392 |
Appears in Collections: | Theses (Master's and Ph.D) – Physics
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