Killing family of tensors in classical gravitational theories

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2013
Menekay, Çağatay
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 for defining conserved gravitational charges is discussed. Finally, a new identity is introduced, and its use in a new approach to overcome a shortcoming of the former construction is given.
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Ç. Menekay, “Killing family of tensors in classical gravitational theories,” M.S. - Master of Science, Middle East Technical University, 2013.