Einstein's static universe

Domingos Soares

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arXiv · 1203.4513

Einstein's static universe

Domingos Soares

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Abstract

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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Domingos Soares. 2012-03-26. Einstein's static universe. https://arxiv.org/abs/1203.4513

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