For numerical simulation of axially symmetric gravitational collapse

Details For numerical simulation of axially symmetric gravitational collapse For numerical simulation of axially symmetric gravitational collapse

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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