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Title: Formation of Trapped Surfaces in General Relativity
Authors: An, Xinliang
Advisors: Klainerman, Sergiu
Contributors: Mathematics Department
Keywords: Einstein's Equation
Gravitational Collapse
Short Pulse Method
Trapped Surface
Subjects: Mathematics
Issue Date: 2014
Publisher: Princeton, NJ : Princeton University
Abstract: In this thesis we present two results regarding the formation of trapped surfaces in general relativity. The first is a simplified approach to Christodoulou's breakthrough result which showed that trapped surfaces can form dynamically by the focusing of gravitational radiation from past null infinity. We extend the methods of Klainerman-Rodnianski, who gave a simplified proof of this result in a finite region. The second result extends the theorem of Christodoulou by allowing for weaker initial data but still guaranteeing that a trapped surface forms in the casual domain. In particular, we show that a trapped surface can form dynamically from initial data which is merely ``large" in a scale-invariant way. The second result is obtained jointly with Luk.
Alternate format: The Mudd Manuscript Library retains one bound copy of each dissertation. Search for these copies in the library's main catalog
Type of Material: Academic dissertations (Ph.D.)
Language: en
Appears in Collections:Mathematics

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