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Conserved Charges In Asymptotically (anti)-de Sitter SpacetimeGullu, Ibrahim 01 August 2005 (has links) (PDF)
ABSTRACT
CONSERVED CHARGES IN ASYMPTOTICALLY (ANTI)-DE SITTER
SPACETIME
GÜ / LLÜ / , iBRAHiM
M.S., Department of Physics
Supervisor: Assoc. Prof. Dr. Bayram Tekin
August 2005, 77 pages.
In this master&rsquo / s thesis, the Killing vectors are introduced and the Killing equation
is derived. Also, some information is given about the cosmological constant.
Then, the Abbott-Deser (AD) energy is reformulated by linearizing the
Einstein equation with cosmological constant. From the linearized Einstein equation,
Killing charges are derived by using the properties of Killing vectors. Using
this formulation, energy is calculated for some specific cases by using the
Schwarzschild-de Sitter metric. Last, the Einstein-Gauss-Bonnet model is studied.
The equations of motion are calculated by solving the generic action at
quadratic order. Following this, all energy calculations are renewed for this model.
Some useful relations and calculations are shown in Appendix (A-B) parts.
Ö / Z
ASiMPTOTiK (ANTi)-DE SITTER UZAYZAMANINDA KORUNAN
YÜ / KLER
GÜ / LLÜ / , iBRAHiM
Yü / ksek Lisans, Fizik Bö / lü / mü / Tez Yö / neticisi: Assoc. Prof. Dr. Bayram Tekin
Agustos 2005, 77 sayfa.
Bu master ç / aliSmasinda, Killing vektö / rler tanimlandi ve Killing denklemi ç / ikarildi.
Ayrica evrenbilimsel sabit, de-Sitter ve Anti-de Sitter uzaylari hakkinda bilgi verildi.
Sonra, Abbott-Deser (AD) enerjisi, evrenbilimsel sabitli Einstein denklemi
dogrusallaStirilarak yeniden formü / le edildi. DogrusallaStirilmiS Einstein denkleminden,
Killing vektö / rlerin ö / zellikleri kullanilarak Killing yü / kleri (Deser-Tekin
denklemi) ç / ikarildi. Schwarzschild-de Sitter metrigi kullanilarak ö / zel durumlar
iç / in enerji hesaplandi. Son olarak Einstein-Gauss-Bonnet (GB) modeli ç / aliSildi.
ikinci dereceden genel eylem ç / ö / zü / lerek hareket denklemleri hesaplandi. Bundan
sonra, tü / m enerji hesaplamalari bu model iç / in tekrarlandi.
Bazi faydali hesaplamalar ek (A-B) kisimlarinda gö / sterilmiStir.
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