Computer Science – Numerical Analysis
Scientific paper
Dec 1978
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1978phdt........78b&link_type=abstract
Ph.D. Thesis Texas Univ., Austin.
Computer Science
Numerical Analysis
Computerized Simulation, Numerical Analysis, Relativistic Plasmas, Spheres, Astrophysics, Boundary Value Problems, Gravitational Collapse
Scientific paper
The numerical problem posed by Einstein's equations is examined for the simple case of spherical symmetry. The general approach taken is solve the initial value equations in either the York and O'Murchadha formalism or the thin Sandwich formalism, and then to let the computer evolve the field equations in Arnowitt-Deser-Misner form. The initial value equations are solved numerically for a class of problems of astrophysical import, namely relations a choice of gauge corresponding to maximal slicing and comoving coordinates is made. The numerical evolution is carried out for four initial data sets, two of them yielding continuous gravitational collapse and the other two collapse and bounce. The results are presented in graphical form.
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