Einstein's static universe

Details Einstein's static universe Einstein's static universe

2012-03-17

arxiv.org/abs/1203.4513v2

Revista Brasileira de Ensino de Fisica, v. 34, n. 1, 1302 (2012)

Physics

General Physics

9 pages, 1 figure. Portuguese version published by Revista Brasileira de Ensino de Fisica (Brazilian Journal of Physics Teachi

Scientific paper

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.

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