Relativity and Singularities - A Short Introduction for Mathematicians
Differential Geometry
2015-09-29 v5 General Relativity and Quantum Cosmology
Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.math/0603190,
title = {Relativity and Singularities - A Short Introduction for Mathematicians},
author = {Jose Natario},
journal= {arXiv preprint arXiv:math/0603190},
year = {2015}
}
Comments
22 pages, 6 figures; v2: a few typos corrected; v3: more typos corrected; v4: proof of Theorem 3.13 fixed, figure added; v5: more typos corrected