Current Trends in Mathematical Cosmology
arXiv:gr-qc/0107090 · doi:10.1007/978-94-010-0622-4_1
Abstract
We present an elementary account of mathematical cosmology through a series of important unsolved problems. We introduce the fundamental notion of `a cosmology' and focus on the issue of singularities as a theme unifying many current, seemingly unrelated trends of this subject. We discuss problems associated with the definition and asymptotic structure of the notion of cosmological solution and also problems related to the qualification of approximations and to the ranges of validity of given cosmologies.
16 pages, LaTeX. To appear in the Proceedings of the 2nd Hellenic Cosmology Workshop, (Kluwer, 2001)