Numerical Investigation of Cosmological Singularities

Details Numerical Investigation of Cosmological Singularities Numerical Investigation of Cosmological Singularities

1995-12-01

arxiv.org/abs/gr-qc/9512004v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Based on lectures given at WE-Heraeus-Seminar on Relativity and Scientific Computing. 24 pages, Latex, 9 figures in separate f

Scientific paper

We describe a numerical approach to address the BKL conjecture that the generic cosmological singularity is locally Mixmaster-like. We consider application of a symplectic PDE solver to three models of increasing complexity--spatially homogeneous (vacuum) Mixmaster cosmologies where we compare the symplectic ODE solver to a Runge-Kutta one, the (plane symmetric, vacuum) Gowdy universe on $T^3 \times R$ whose dynamical degrees of freedom satisfy nonlinearly coupled PDE's in one spatial dimension and time, and U(1) symmetric, vacuum cosmologies on $T^3 \times R$ which are the simplest spatially inhomogeneous universes in which local Mixmaster dynamics is allowed.

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