Rigidity Results in General Relativity: a Review
Alexandru Ionescu, Sergiu Klainerman
TL;DR
This paper reviews recent advances over the past decade in understanding the Black Hole Rigidity problem within smooth spacetimes, highlighting key mathematical ideas and results.
Contribution
It provides a comprehensive overview of local and global rigidity results in general relativity, emphasizing recent progress and methods.
Findings
Summary of local and global rigidity theorems
Discussion of mathematical techniques used in recent proofs
Identification of open problems and future directions
Abstract
In this survey we review the progress made in the last ten years in understanding the Black Hole Rigidity problem in the setting of smooth spacetimes. We review both local and global results and discuss the main mathematical ideas behind them.
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