Killing family of tensors and hidden symmetries

Günel, Okan
In this thesis, the symmetries of the spacetimes and symmetry related Killing family of tensors are investigated. The relations between the members of the Killing family of tensors are given. Conserved gravitational charges for the spacetimes are discussed. We calculated conserved charges for Myers-Perry spacetimes using the conserved Kastor-Traschen current obtainable from Killing-Yano tensors in 4, 5, 6, 7, and 8 dimensions. We also studied a Kerr-like metric for rotating spacetimes. We showed that they share a common (conformal) Killing-Yano tensor and that the Hamilton-Jacobi equation separates. We found Carter's fourth constant of motion using the separability and using Killing tensors obtainable from the Killing-Yano tensor.


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...
Quantum mechanical treatment of the problem of constraints in non-extensive formalism revisited
Bagci, G. B.; Arda, Altug; Sever, Ramazan (World Scientific Pub Co Pte Lt, 2007-07-10)
The purity of Werner state in non-extensive formalism associated with two different constraints has been calculated in a previous paper by Bagci et al.(17) Two different results have been obtained corresponding to ordinary probability and escort probability. The former has been shown to result in negative values thereby leading authors to deduce the advantage of escort probabilities over ordinary probabilities. However, these results have only been for a limited interval of q values which lie between 0 and ...
BASKAL, S; DERELI, T (IOP Publishing, 1993-04-01)
The variational field equations and the covariantly conserved energy-momentum tensor of a higher-derivative effective Yang-Mills theory are given. A class of static spherically symmetric gauge field configurations that follow from the Wu-Yang ansatz is considered.
Katırcıoğlu, Şenay (Elsevier BV, 1991-09-20)
The structural stability and energetics of Si4 isomers have been investigated by using an empirical tight-binding (ETB) method. It has been found that the most stable Si4 microcluster is an exact tetrahedron with T(d) symmetry.
On symplectic quotients of K3 surfaces
Cinkir, Z; Onsiper, H (Elsevier BV, 2000-12-18)
In this note, we construct generalized Shioda-Inose structures on K3 surfaces using cyclic covers and almost functoriality of Shioda-Inose structures with respect to normal subgroups of a given group of symplectic automorphisms.
Citation Formats
O. Günel, “Killing family of tensors and hidden symmetries,” M.S. - Master of Science, Middle East Technical University, 2022.