Killing family of tensors and hidden symmetries

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2022-8-24

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Günel, Okan

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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.

Subject Keywords

Symmetries, Killing-Yano, Hamilton-Jacobi, Conserved charges, Separability

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https://hdl.handle.net/11511/99474

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Graduate School of Natural and Applied Sciences, Thesis

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Citation Formats

O. Günel, “Killing family of tensors and hidden symmetries,” M.S. - Master of Science, Middle East Technical University, 2022.