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Integrals of motion in curved space-time

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Abstract (EN)

Integrals of motion are the quantities that remain constant during the motion of a point particle that allow to determine various important properties without solving the equations of motion. In this thesis, a systematic analysis for the motion of a relativistic particle in curved spacetime is given and the relation of the integrals of motion to the Killing vectors and the Killing tensors of the spacetime in which the particle moves is explained. As examples, motion on the Schwarzschild, the Kerr and the generalized Lense-Thirring spacetimes are studied.

Author

Toygun Kutkar Demir

How to Cite

Toygun Kutkar Demir (Master Thesis). Integrals of motion in curved space-time, 2023, Hacettepe University.

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