Mathematics – Differential Geometry
Scientific paper
2006-03-08
Resenhas 6:309-335,2005
Mathematics
Differential Geometry
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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