Numerical evolution, linear and nonlinear, of spherically symmetric deviations from an isotropic universe

Details Numerical evolution, linear and nonlinear, of spherically symmetric deviations from an isotropic universe Numerical evolution, linear and nonlinear, of spherically symmetric deviations from an isotropic universe

Apr 1993

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1993gregr..25..373f&link_type=abstract

General Relativity and Gravitation, Volume 25, Issue 4, pp.373-397

Computer Science

1

Scientific paper

We describe an algorithm for solving 1 + 1-systems that are in symmetric hyperbolic form. It is applied to spherically symmetric deviations from ak = 0, radiation filled Isotropic universe. We compare the solution to the full Einstein equations with those of the linearized equations. For small enough initial data the evolutions are indistinguishable. However, for large data, i.e., for initial density contrasts in the 1 percent range, trapped surfaces appear and singularities form.

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