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.


A Theoretical Investigation of Cu+, Ni2+and Co2+-Exchanged Zeolites for Hydrogen Storage
Özbek, Murat Oluş; İpek Torun, Bahar (2022-07-01)
This study investigates the H2adsorption on Cu+, Ni2+and Co2+-exchanged SSZ-13 (CHA) and SSZ-39 (AEI) using periodic DFT computations. The most stable Cu+position was found to be the 6-membered-ring window for both zeolites. Similarly, for the investigated Ni2+and Co2+loadings on 6-membered-ring windows, the third nearest neighbor Al positions, i. e., Al−O−Si−O−Si−O−Al coordination, was found to be the most stable position. H2adsorption was investigated for all the Cu+, Ni2+and Co2+centers. AEI and CHA resu...
On the smoothness of solutions of impulsive autonomous systems
Akhmet, Marat (Elsevier BV, 2005-01-01)
The aim of this paper is to investigate dependence of solutions on parameters for nonlinear autonomous impulsive differential equations. We will specify what continuous, differentiable and analytic dependence of solutions on parameters is, define higher order derivatives of solutions with respect to parameters and determine conditions for existence of such derivatives. The theorem of analytic dependence of solutions on parameters is proved.
A characterization of an order ideal in Riesz spaces
Alpay, S; Emel'yanov, EY; Ercan, Z (American Mathematical Society (AMS), 2004-01-01)
In this paper we give a characterization of order ideals in Riesz spaces.
Further developments in the dynamic stiffness matrix (DSM) based direct damping identification method
Özgen, Gökhan Osman (2005-01-01)
Theoretical development of a dynamic stiffness matrix (DSM) based direct damping matrix identification method is revisited in this paper. This method was proposed to identify both the mechanism and spatial distribution of damping in dynamic structures as a matrix of general function of frequency. The objective of this paper, in addition to the review of the theoretical development, is to investigate some major issues regarding the feasibility of this method. The first issue investigated is how the errors in...
A Modal Superposition Method for the Analysis of Nonlinear Systems
Ferhatoglu, Erhan; Ciğeroğlu, Ender; Özgüven, Hasan Nevzat (2016-01-28)
In the determination of response of nonlinear structures, computational burden is always a major problem even if frequency domain methods are used. One of the methods used to decrease the computational effort is the modal superposition method for nonlinear systems where the modes of the linear system are used in the calculation. However, depending on the type of the nonlinearity, in order to obtain an accurate response, the number of modes retained in the response calculations needs to be increased, which i...
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.