Computer Science – Numerical Analysis
Scientific paper
Dec 1980
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1980phdt........37d&link_type=abstract
Ph.D. Thesis Texas Univ., Arlington.
Computer Science
Numerical Analysis
15
Field Theory (Physics), Gravitational Collapse, Numerical Analysis, Relativity, Simulation, Astrophysics, Gravitational Fields, Space-Time Functions
Scientific paper
The evolution of vacuum, asymptotically flat, axially symmetric, irrotational initial data for the field equations of the General Theory of Relativity was followed by means of numerical simulation. The initial hypersurfaces were constructed to represent either an instant of time symmetry or an instant of time antisymmetry in the manifold. An instance was found of a spacetime in which there is a trapped surface in the future development of a time symmetric slice which does not not itself contain such a surface. The evolutions were maximally constrained. The Hamiltonian constraint was solved for the conformal factor of the spatial metric. The momentum constraints were used to obtain combinations of extrinsic curvature components which vanish identically in the case of spherical symmetry.
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