Relativity and Singularities - A Short Introduction for Mathematicians

Mathematics – Differential Geometry

Scientific paper

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22 pages, 6 figures; v2: a few typos corrected; v3: more typos corrected; v4: proof of Theorem 3.13 fixed, figure added

Scientific paper

We summarize the main ideas of General Relativity and Lorentzian geometry,
leading to a proof of the simplest of the celebrated Hawking-Penrose
singularity theorems. The reader is assumed to be familiar with Riemannian
geometry and point set topology.

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