Conserved charges in asymptotically (anti)-de sitter spacetime

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2005
Güllü, İbrahim
In this master̕s 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.

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Citation Formats
İ. Güllü, “Conserved charges in asymptotically (anti)-de sitter spacetime,” M.S. - Master of Science, Middle East Technical University, 2005.