1995/12/01 by Beverly K. Berger, Berger, Beverly K.
Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #gr-qc
paper · pdf · doi:10.48550/arxiv.gr-qc/9512004
Based on lectures given at WE-Heraeus-Seminar on Relativity and Scientific Computing. 24 pages, Latex, 9 figures in separate file BHfigs.uu, uses psfig.tex
arxiv created 1995/12/01 · arxiv updated 2009/11/30
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 T3 × R whose dynamical degrees of freedom satisfy nonlinearly coupled PDE's in one spatial dimension and time, and U(1) symmetric, vacuum cosmologies on T3 × R which are the simplest spatially inhomogeneous universes in which local Mixmaster dynamics is allowed.