Abstract

SOARES, Domingos. Einstein's static universe. Rev. Bras. Ensino Fís. [online]. 2012, vol.34, n.1, pp. 1-4. ISSN 1806-1117.  http://dx.doi.org/10.1590/S1806-11172012000100002.

Einstein's static model is the first relativistic cosmological model. The model is static, finite and of spherical spatial symmetry. I use the solution of Einstein's field equations in a homogeneous and isotropic universe Friedmann's equation -to calculate the radius of curvature of the model (also known as Einstein's universe). Furthermore, I show, using a Newtonian analogy, the model's mostly known feature, namely, its instability under small perturbations on the state of equilibrium.

Keywords : cosmology; Friedmann equation; Einstein model.