This review is an introduction to causal properties of general relativity. Topics include the Raychaudhuri equation, singularity theorems of Penrose and Hawking, the black hole area theorem, topological censorship, and the Gao-Wald theorem. The review is based on lectures at the 2018 summer program Prospects in Theoretical Physics at the Institute for Advanced Study, and also at the 2020 New Zealand Mathematical Research Institute summer school in Nelson, New Zealand.
Reviews of Modern Physics
- Pub Date:
- October 2020
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- 104 pp. V2: Various corrections/improvements, especially in Appendix C. New Appendix D added, V3: minor corrections and improvements to figures., V4: minor corrections and another new Appendix, V5: minor corrections