A class of solutions for self-gravitating dust in Newtonian gravity

DOI10.1063/1.527717zbMath0645.76133OpenAlexW2044014826MaRDI QIDQ3789284

Thomas Buchert, Günter Götz

Publication date: 1987

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.527717

zbMATH Keywords

Lagrange methodNewtonian gravitational fieldmatter with vanishing pressurethree-dimensional hydrodynamical equations

Mathematics Subject Classification ID

Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Quantum hydrodynamics and relativistic hydrodynamics (76Y05) Statics (70C20) Hamiltonian and Lagrangian mechanics (70H99)

Related Items (9)

Newtonian cosmology in Lagrangian formulation: Foundations and perturbation theory ⋮ An existence theorem for perturbed Newtonian cosmological models ⋮ Nonlinear motions against the Newtonian uniform expansion background: The case of the unperturbed density ⋮ Dark energy from structure: a status report ⋮ An exact Lagrangian integral for the Newtonian gravitational field strength ⋮ Editorial note to: On the Newtonian limit of Einstein's theory of gravitation (by Jürgen Ehlers) ⋮ GALACTIC ANGULAR MOMENTA AND ANGULAR MOMENTUM CORRELATIONS IN THE COSMOLOGICAL LARGE-SCALE STRUCTURE ⋮ The hydrodynamical limit of the Vlasov-Poisson system ⋮ On the Newtonian limit of the Weyl tensor

Cites Work

• The large scale structure of the universe I. General properties. One-and two-dimensional models

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