Conserved Charges In Asymptotically (anti)-de Sitter Spacetime

Description

ABSTRACT
CONSERVED CHARGES IN ASYMPTOTICALLY (ANTI)-DE SITTER
SPACETIME
G&Uuml / LL&Uuml / , 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.

&Ouml / Z
ASiMPTOTiK (ANTi)-DE SITTER UZAYZAMANINDA KORUNAN
Y&Uuml / KLER
G&Uuml / LL&Uuml / , iBRAHiM
Y&uuml / ksek Lisans, Fizik B&ouml / l&uuml / m&uuml / Tez Y&ouml / neticisi: Assoc. Prof. Dr. Bayram Tekin
Agustos 2005, 77 sayfa.
Bu master &ccedil / aliSmasinda, Killing vekt&ouml / rler tanimlandi ve Killing denklemi &ccedil / 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 form&uuml / le edildi. DogrusallaStirilmiS Einstein denkleminden,
Killing vekt&ouml / rlerin &ouml / zellikleri kullanilarak Killing y&uuml / kleri (Deser-Tekin
denklemi) &ccedil / ikarildi. Schwarzschild-de Sitter metrigi kullanilarak &ouml / zel durumlar
i&ccedil / in enerji hesaplandi. Son olarak Einstein-Gauss-Bonnet (GB) modeli &ccedil / aliSildi.
ikinci dereceden genel eylem &ccedil / &ouml / z&uuml / lerek hareket denklemleri hesaplandi. Bundan
sonra, t&uuml / m enerji hesaplamalari bu model i&ccedil / in tekrarlandi.
Bazi faydali hesaplamalar ek (A-B) kisimlarinda g&ouml / sterilmiStir.

Links & Downloads

1. http://etd.lib.metu.edu.tr/upload/12606355/index.pdf

Tags

QC Physics 1-999

r, Korunan y&uuml

kler.

Additional Fields

Identifer	oai:union.ndltd.org:METU/oai:etd.lib.metu.edu.tr:http://etd.lib.metu.edu.tr/upload/12606355/index.pdf
Date	01 August 2005
Creators	Gullu, Ibrahim
Contributors	Tekin, Bayram
Publisher	METU
Source Sets	Middle East Technical Univ.
Language	English
Detected Language	English
Type	M.S. Thesis
Format	text/pdf
Rights	To liberate the content for public access