Dynamics of extended objects in general relativity

İlhan, İbrahim Burak
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.


Adsorption of gold atoms on anatase TiO2 (100)-1x1 surface
Vural, Kıvılcım Başak; Ellialtıoğlu, Süleyman Şinasi; Department of Physics (2009)
In this work the electronic and structural properties of anatase TiO2 (100) surface and gold adsorption have been investigated by using the first-principles calculations based on density functional theory (DFT). TiO2 is a wide band-gap material and to this effects it finds numerous applications in technology such as, cleaning of water, self-cleaning, coating, solar cells and so on. Primarily, the relation between the surface energy of the anatase (100)-1x1 phase and the TiO2-layers is examined. After an app...
Gravitational waves and gravitational memory
Korkmaz, Ali; Tekin, Bayram; Department of Physics (2018)
We study the gravitational waves produced by compact binary systems in the linear regime of massless general relativity and calculate the gravitational memory produced by these waves on a detector.
Localized surface plasmons in metal nanoparticles engineered by electron beam lithography
Güler, Urcan; Turan, Raşit; Department of Physics (2009)
In this study, optical behavior of metal nanoparticles having dimensions smaller than the wavelength of visible light is studied experimentally and numerically. Gold (Au) and silver (Ag) nanoparticles are studied due to their superior optical properties when compared to other metals. A compact code based on Discrete Dipole Approximation (DDA) is developed to compute extinction efficiencies of nanoparticles with various different properties such as material, dimension and geometry. To obtain self consistent ...
Measurement of nonuniform magnetized argon plasma discharge parameters
Dağtekin, Ebru; Bilikmen, Kadri Sinan; Department of Physics (2006)
Effects of a magnetic field on the double-probe technique are studied experimentally by means of symmetric floating computer controlled fast double probes in low and intermediate pressure plasmas. In addition, the effects of the magnetic field on the electron temperature, electron density, and electric field have been investigated. As it is expected, when there is no magnetic field, properties of the discharge plasma are best described by Langmuir theory. Whereas, when there’s a magnetic field of sufficient...
Non-Einsteinian black holes in generic 3D gravity theories
Gürses, Metin; Şisman, Tahsin Çağrı; Tekin, Bayram (AMER PHYSICAL SOC, ONE PHYSICS ELLIPSE, COLLEGE PK, MD 20740-3844 USA, 2019-09-21)
The Banados-Teitelboim-Zanelli (BTZ) black hole metric solves the three-dimensional Einstein's theory with a negative cosmological constant as well as all the generic higher derivative gravity theories based on the metric; as such it is a universal solution. Here, we find, in all generic higher derivative gravity theories, new universal non-Einsteinian solutions obtained as Kerr-Schild type deformations of the BTZ black hole. Among these, the deformed nonextremal BTZ black hole loses its event horizon while...
Citation Formats
İ. B. İlhan, “Dynamics of extended objects in general relativity,” M.S. - Master of Science, Middle East Technical University, 2009.