Bridging the gap between modern differential geometry and the mathematical physics of general relativity, this text, in its second edition, includes new and expanded material on topics such as the instability of both geodesic completeness and geodesic incompleteness for general space-times, geodesic connectibility, the generic condition, the sectional curvature function in a neighbourhood of degenerate two-plane, and proof of the Lorentzian Splitting Theorem.;Five or more copies may be ordered by college or university stores at a special student price, available on request.

chapter 2|34 pages

Connections and Curvature

chapter 3|86 pages

Lorentzian Manifolds and Causality

chapter 4|38 pages

Lorentzian Distance

chapter 5|24 pages

Examples of Space-Times

chapter 6|42 pages

Completeness and Extendibility

chapter 9|28 pages

The Lorentzian Cut Locus

chapter 10|76 pages

Morse Index Theory on Lorentzian Manifolds

chapter 11|26 pages

Some Results in Global Lorentzian Geometry

chapter 12|54 pages


chapter 13|22 pages

Gravitational Plane Wave Space-Times