TY - JOUR
T1 - Light rays, singularities, and all that
AU - Witten, Edward
N1 - Funding Information:
I thank G. Galloway, A. Kar, R. Wald, and A. Wall for helpful comments and suggested improvements and for pointing out useful references, and M. Turansick for assistance with the manuscript. Lectures on some of this material were presented at the 2018 summer program Prospects in Theoretical Physics at the Institute for Advanced Study in Princeton, New Jersey, and the January 2020 summer school of the New Zealand Mathematical Research Institute (NZMRI), held in Nelson, New Zealand. Both audiences provided useful feedback. The NZMRI summer school lectures were supported by the Clay Mathematical Institute. Research was also supported in part by NSF Grant No. PHY-1606531.
Publisher Copyright:
© 2020 American Physical Society.
PY - 2020/11/11
Y1 - 2020/11/11
N2 - 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.
AB - 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.
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U2 - 10.1103/RevModPhys.92.045004
DO - 10.1103/RevModPhys.92.045004
M3 - Article
AN - SCOPUS:85097157902
SN - 0034-6861
VL - 92
JO - Reviews of Modern Physics
JF - Reviews of Modern Physics
IS - 4
M1 - 045004
ER -