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Dynamics of extended objects in general relativity
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Date
2009
Author
İlhan, İbrahim Burak
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In this thesis, multipole expansions of mass, momentum and stress density will be made for a body in Newtonian mechanics. Using these definitions; momentum, angular momentum, center of mass, force and torque are defined for N gravitationally interacting isolated bodies. Equations of motions of such a system are derived. Definitions of momentum, angular momentum, center of mass, force and torque are made in a relativistic theory. Dynamical (gravitational) skeleton is defined and the multipole moments of the dynamical skeleton are found. Equations of motion for a test body moving in a gravitational field are derived in terms of the multipole moments. Save the details of the derivations, no originality in this thesis is claimed: it is intended as a review of the subject.
Subject Keywords
Physics.
,
Optics.
URI
http://etd.lib.metu.edu.tr/upload/12610981/index.pdf
https://hdl.handle.net/11511/19052
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Graduate School of Natural and Applied Sciences, Thesis
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İ. B. İlhan, “Dynamics of extended objects in general relativity,” M.S. - Master of Science, Middle East Technical University, 2009.