Newtonian and post-Newtonian approximations of the k = 0 Friedmann Robertson Walker cosmology
Tamath Rainsford
ADP-99-29/M84, gr-qc/9907094,Gen. Relativ. Grav. 32 (2000) 719-733.

In a previous paper we derived a post-Newtonian approximation to cosmology which, in contrast to former Newtonian and post-Newtonian cosmological theories, has a well-posed initial value problem. In this paper, this new post-Newtonian theory is compared with the fully general relativistic theory, in the context of the k = 0 Friedmann Robertson Walker cosmologies. It is found that the post-Newtonian theory reproduces the results of its general relativistic counterpart, whilst the Newtonian theory does not.

HOME