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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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