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Killing family of tensors in classical gravitational theories
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index.pdf
Date
2013
Author
Menekay, Çağatay
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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.
Subject Keywords
Calculus of tensors.
,
Gravitation.
,
Vector analysis.
,
Gravitational fields.
,
General relativity (Physics).
URI
http://etd.lib.metu.edu.tr/upload/12616157/index.pdf
https://hdl.handle.net/11511/22774
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Graduate School of Natural and Applied Sciences, Thesis
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Ç. Menekay, “Killing family of tensors in classical gravitational theories,” M.S. - Master of Science, Middle East Technical University, 2013.