Dynamics of Extended Objects in General Relativity
Abstract
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- November 2009
- DOI:
- 10.48550/arXiv.0911.3645
- arXiv:
- arXiv:0911.3645
- Bibcode:
- 2009arXiv0911.3645B
- Keywords:
-
- General Relativity and Quantum Cosmology
- E-Print:
- 63 pages, 3 figures, MSc thesis, METU, 2009 (supervisor: B. Tekin)