Physics
Scientific paper
Aug 2007
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=2007phdt........16w&link_type=abstract
Proquest Dissertations And Theses 2007. Section 0252, Part 0606 124 pages; [Ph.D. dissertation].United States -- Missouri: Wash
Physics
Binary Neutron Star, Inspiral, Numerical Relativity, Initial Data, Numerical Simulation
Scientific paper
This work is a study of the validity of using the quasi-equilibrium approximation in describing the inspiral of binary neutron star systems. The standard in numerical relativity is to use the approximation to constrain the initial data for a numerical simulation in a late stage of the inspiral process. Presently we do not have a satisfactory way to measure how accurate the approximation is as a description of realistic inspiral systems. In this thesis, we develop a procedure and a set of measures to monitor the degree to which the assumptions behind that approximation are violated. The study is based on a numerical solution of the full set of the Einstein equations coupled to the general relativistic hydrodynamic equations. Adaptive Mesh Refinement is developed and used as numerical treatment especially suited to this problem.
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