Title page for ETD etd-11062009-084659


Type of Document Dissertation
Author Da Silva, Argenis Daniel
URN etd-11062009-084659
Title Global Positioning System in Curved Space-Time and Other Applications of General Relativity
Degree Doctor of Philosophy (Ph.D.)
Department Physics & Astronomy
Advisory Committee
Advisor Name Title
Dowling, Jonathan Committee Chair
Kurtz, Richard Committee Member
Lehner, Luis Committee Member
Pullin, Jorge Committee Member
Morales, Jorge Dean's Representative
Keywords
  • GRAVITATIONAL COLLAPSE
  • RELATIVITY
  • GPS
Date of Defense 2009-06-23
Availability unrestricted
Abstract
In this work, we present some applications of the theory of General Relativity. First, we

show a numerical scheme to account for relativistic effects in the Global Positioning System.

Then, a couple of applications of astrophysical interest are worked out. These are the study

of the gravitational collapse of stars and the dynamical evolution of a three-dimensional

Einstein-Klein-Gordon field.

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