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


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.
Optical design and analysis of a riflescope system
Bayar, Cevdet; Esendemir, Akif; Department of Physics (2009)
Today, riflescope systems are used widely, mostly by military forces. In this study, a riflescope working in the visible range (400-700 nm) will be designed. The riflescope will have 3 degrees field of view and maximum 15 cm total track. Total design length is limited to 15 cm because a short riflescope is more stabilized than a long one with respect to thermal instability and vibrational effects. Taken into account the cost factor, only two types of glasses will be used in the design. One of them is NBK7 a...
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...
Heavy chi(Q) (2) tensor mesons in QCD
Alıyev, Tahmasıb; Savcı, Mustafa (Elsevier BV, 2010-06-14)
The masses and decay constants of the ground state heavy chi(Q2) (Q = b, c) tensor mesons are calculated in the framework of the QCD sum rules approach. The obtained results on the masses are in good consistency with the experimental values. Our predictions on the decay constants can be verified in the future experiments.
Citation Formats
A. N. Nurbaki, “Killing-Yano tensors,” M.S. - Master of Science, Middle East Technical University, 2010.