A class of solutions in Newtonian cosmology and the pancake theory

Details A class of solutions in Newtonian cosmology and the pancake theory A class of solutions in Newtonian cosmology and the pancake theory

Oct 1989

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1989a%26a...223....9b&link_type=abstract

Astronomy and Astrophysics (ISSN 0004-6361), vol. 223, no. 1-2, Oct. 1989, p. 9-24.

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Computational Astrophysics, Cosmology, Galaxies, Perturbation Theory

Scientific paper

The present unification and extension of results and formalisms emerging from pancake theory arrives at a class of inhomogeneous three-dimensional solutions for the motion of 'dust' in the Newtonian cosmological framework. A special form of the equations suggests the specialization of nonlinearities to the class presented, while furnishing an intrinsic relation to the linear theory of gravitational instability. An algorithm based on this relation permits the construction of the class of solutions from the corresponding solutions of the linearized perturbation equations for all background solutions of the Friedman-Lemaitre type.

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