A NEW APPROACH TO CONSERVED CHARGES IN ASYMTOTICALLY ANTI-DE SITTER SPACETIMES

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2022-5-27
Şahin, Aygün
In this master’s thesis, spaces with constant curvatures, Killing vectors, Killing equation and AdS Space in 4 dimensional case is introduced. Also, isometries of a space, maximally symmetric spaces and conserved charges in General Relativity are described. After deriving the usual Abbott-Deser (AD) formulation for conserved charges new formulation is introduced. Relation of the new formula with AbbottDesser formula is shown. Gauge invariance of the new formula is shown. Finally, some examples for application of the new formula are given through some asymptotically ads spacetimes. Some useful relations and calculations are shown in Appendices.

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Citation Formats
A. Şahin, “A NEW APPROACH TO CONSERVED CHARGES IN ASYMTOTICALLY ANTI-DE SITTER SPACETIMES,” M.S. - Master of Science, Middle East Technical University, 2022.