Propagation of a spherical detonation wave in an expanding, gravitating universe

Statistics – Computation

Scientific paper

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Big Bang Cosmology, Detonation Waves, Gravitational Fields, Spherical Waves, Universe, Wave Propagation, Computational Astrophysics, Discontinuity, Gas Flow, Hubble Diagram, Similarity Theorem, Wave Fronts

Scientific paper

The question of whether primordial perturbations are initially able to grow in a detonation regime is addressed. It is shown that a similarity solution obtained to describe shock-wave propagation in an expanding early universe can be extended to the case of a detonation (blast) wave. If the adiabatic index kappa is greater than 1 and less than kappa1 (kappa1 is between 1.2-1.21), a continuous solution will exist throughout the flow region from the center to the wave front with a discontinuity across the characteristic surface. If kappa is greater than 4/3, a shock will develop in the flow behind the detonation front. If kappa is greater than kappa1 and less than or equal to 4/3, no physically admissable similarity solution will exist.

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