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Please use this identifier to cite or link to this item: http://hdl.handle.net/11129/6459

Title: The Physics of Non-spherical Compact Objects
Authors: Gürtuğ, Özay (Co-Supervisor)
Sakallı, İzzet (Supervisor)
Mangut, Mert
Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Physics
Keywords: Thesis Tez
Physics Department
General relativity (Physics)
Gravitational fields
Non-spherical Symmetry
Ernst Formalism
Gravitational Lensing
Gravitational Redshift
Quantum Singularity Analysis
Issue Date: Sep-2023
Publisher: Eastern Mediterranean University (EMU) - Doğu Akdeniz Üniversitesi (DAÜ)
Citation: Mangut, Mert. (2023). The Physics of Non-spherical Compact Objects. Thesis (M.S.), Eastern Mediterranean University, Institute of Graduate Studies and Research, Dept. of Physics, Famagusta: North Cyprus.
Abstract: In this thesis, one of the well-known spacetimes named as Zipoy-Voorhees (ZV) or-metric is extended to its charged version via Ernst formalism and is called the charged ZV solution. This spacetime is then further investigated and the relevant geodesic equations, the Newtonian limit, the solution of Maxwell equations and the singularity analysis are all carried out in detail. These steps are later on followed by inspecting the physical properties of the consequent-metric, whose gravitational lensing effect is compared with the one for the stationary ZV solution. In this regard, the effect of deformation parameter on gravitational lensing and redshift is studied. With the help of Chandrasekhar-Xanthopoulos (CX) theorem and Ernst formalism, the charged and stationary version of ZV solution is also obtained. The metric functions of this new solution- which came out to be utterly complicated- are expanded up to the quadrupole terms. As a result, the closed time-like curves are examined. Another important compitation known as the singularity analysis is carried out for the uncharged and charged versions of ZV spacetime on = 2 and = planes. In the end, it has been found that both solutions are quantum regular in s-mode on the = plane for 1 < < 2. Lastly, gravitational lensing analysis is conducted on another well-known spacetime of theoretical physics, Kerr-Newman Anti de Sitter metric, and the effect of rotation on black holes is studied by using observational data from M87 and SgrA .
ÖZ: Bu tezde literatürde Zipoy-Voorhees (ZV) uzayzamanı veya-metri˘ gi olarak bilinen ve fiziksel yapı parametresi sadece kütle olan küresel olmayan çözüm, Ernst formalizm yardımıyla yüklü hale getirilerek, yüklü ZV uzayzamanı elde edilmi¸stir. Bu yeni uzayzaman üzerinde, jeodezik analizi, Newton limiti, Maxwell denklemlerinin çözümü ve tekillik analizi yapılmı¸stır. Daha sonra ise ilgili uzayzamanın fiziksel özellikleri ara¸stırılarak, bu yeni çözümde kütle-çekimsel mercekleme etkisi stasyoner ZV çözümüyle kar¸sıla¸stırılmı¸stır. Bu ba˘ glamda, ile ifade edilen geometrik deformasyon parametresinin, bahsi geçen fiziksel olay üzerindeki etkisi incelenmi¸stir. Elde edilen yeni yüklü ZV çözümü üzerinde kütleçekimsel kırmızıya kayma olayı da incelenmi¸stir. ZV çözümünün önemli ba¸ska bir sınıfı olan yüklü ve stasyoner ZV sınıfı, literatürde Chandrasekhar-Xanthopoulos (CX) teoremi olarak bilinen teorem kullanılarak, Ernst formalizm yardımıyla türetilmi¸stir. Bu oldukça karı¸sık yeni çözümün metrik fonksiyonları, kuadrapol terimlere kadar açılarak bu çözümün kapalı zamansal jeodezik denklemleri incelenmi¸stir. Bir ba¸ska önemli analiz olan kuantum tekillik analizi, ZV ve yüklü ZV uzayzamanlarında = 2 ve = düzlemlerinde yapılarak, her iki çözümün de = düzleminde 1 < <2 aralı˘ gında, s-dalga modunda kuantumsal olarak düzenli oldu˘ gu bulunmu¸stur. Son olarak, teorik fizi˘ gin tanınmı¸s bir ba¸ska uzayzamanı olarak bilinen, küresel olmayan ve kara deliklere uygulanabilen Kerr-Newman Anti de Sitter metri˘ ginde, kütleçekimsel mercekleme analizi yapılarak, dönmenin mercekleme üzerindeki etkisi; M87 ve SgrA kara deliklerinin gözlemsel verileri kullanılarak incelenmi¸stir
Description: Doctor of Philosophy in Physics. Institute of Graduate Studies and Research. Thesis (Ph.D.) - Eastern Mediterranean University, Faculty of Arts and Sciences, Dept. of Physics, 2023. Co-Supervisor: Prof. Dr. Özay Gürtuğ and Supervisor: Prof. Dr. İzzet Sakallı
URI: http://hdl.handle.net/11129/6459
Appears in Collections:Theses (Master's and Ph.D) – Physics

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