Killing-Yano tensors

Nurbaki, Ali Nur
By using the concept of isometry Killing vectors were introduced. Generalizing the Killing vectors Killing tensors of rank two were briefly introduced. Their metrical properties have been dealt.With this path Killing – Yano tensors were introduced as being some hidden space-time symmetries and also square roots of Killing tensors of rank two. Also physical importance of Killing – Yano tensors were briefly introduced. A calculation for 4D pp-wave metric is reviewed. Standart 5-D Kaluza- Klein theory is rewieved in an anholonomic base. 5- D Killing – Yano equations are written in this base. Simplified forms of these equations are given and the necessary conditions on the EM field tensor and the KY tensor are presented


Conserved charges in asymptotically (anti)-de sitter spacetime
Güllü, İbrahim; Tekin, Bayram; Department of Physics (2005)
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...
Killing family of tensors in classical gravitational theories
Menekay, Çağatay; Sarıoğlu, Bahtiyar Özgür; Department of Physics (2013)
In this thesis, the basic properties of the Killing family of tensors (Killing vector, Killing tensors and Killing-Yano tensors) are considered. Their relationship with integrals of motions and conserved gravitational charges are also discussed. The fourth constant of motion of a test particle in Kerr spacetime and its relationship with Killing tensor are reviewed. We have done a similar analysis for the newly discovered solution of Conformal Gravity. Next, the use of Killing-Yano tensors in the procedure f...
Nonstandard hulls of lattice-normed ordered vector spaces
Aydin, Abdullah; Gorokhova, Svetlana; Gul, Hasan (2018-01-01)
Nonstandard hulls of a vector lattice were introduced and studied in many papers. Recently, these notions were extended to ordered vector spaces. In the present paper, following the construction of associated Banach-Kantorovich space due to Emelyanov, we describe and investigate the nonstandard hull of a lattice-normed space, which is the foregoing generalization of Luxemburg's nonstandard hull of a normed space.
Analysis of exclusive B-s -> D-s0(2317)l(v)over-bar(e) decay with QCD sum rules
Alıyev, Tahmasıb; Savcı, Mustafa (American Physical Society (APS), 2006-06-01)
The transition form factors of the semileptonic decay B-s into scalar D-s0(2317) meson is calculated in the framework of 3-point QCD sum rule. The branching ratio is found to be similar to 10(-3) for the B-s -> D-s0(2317)center dot(v) over bar (center dot)(center dot=e,mu) decay, and similar to 10(-4) for the B-s -> D-s0(2317)tau(v) over bar (tau) decay, respectively.
Heavy baryon-light vector meson couplings in QCD
Alıyev, Tahmasıb; Savcı, Mustafa (Elsevier BV, 2011-02-15)
The strong coupling constants of heavy baryons with light vector mesons are calculated in the framework of the light cone QCD sum rules using the most general form of the interpolating currents for the heavy baryons. It is shown that the sextet sextet, sextet-antitriplet and antitriplet-antitriplet transitions are described by one invariant function for each class of transitions. The values of the electric and magnetic coupling constants for these transitions are obtained.
Citation Formats
A. N. Nurbaki, “Killing-Yano tensors,” M.S. - Master of Science, Middle East Technical University, 2010.