Numerical analysis of one-soliton solutions on a Bianchi type-II background

Computer Science – Numerical Analysis

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Einstein Equations, Numerical Analysis, Relativity, Solitary Waves, Wave Equations, Asymptotic Methods, Matrices (Mathematics), Perturbation Theory, Singularity (Mathematics), Vacuum

Scientific paper

The asymptotic behavior of a solution of vacuum Einstein equations describing the propagation of a single 'soliton wave' on a Bianchi type-II background is investigated numerically. In the framework of the oscillatory approach to a cosmological singularity, the 'transitional behavior' corresponding to a critical value of a fundamental integration constant is analyzed.

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