Lagrangian formulation of Newtonian cosmology
arXiv:1401.7008 · doi:10.1590/S1806-11172014000300010
Abstract
In this paper, we use the Lagrangian formalism of classical mechanics and some assumptions to obtain cosmological differential equations analogous to Friedmann and Einstein equations, obtained from the theory of general relativity. This method can be used to a universe constituted of incoherent matter, that is, the cosmologic substratum is comprised of dust.
5 pages. accepted for publication in Revista Brasileira de Ensino de Física (RBEF). arXiv admin note: text overlap with arXiv:astro-ph/0309756 by other authors