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- W2537173608 abstract "The main goal of this work consists in showing that the analytic solutions for a class of characteristic problems for the Einstein vacuum equations have an existence region larger than the one provided by the Cauchy-Kowalevski theorem, due to the intrinsic hyperbolicity of the Einstein equations. The magnitude of this region depends only on suitable $H_s$ Sobolev norms of the initial data for a fixed $sleq 7$ and if the initial data are sufficiently small the analytic solution is global. In a previous paper, hereafter I, we have described a geometric way of writing the vacuum Einstein equations for the characteristic problems we are considering and a local solution in a suitable double null cone gauge characterized by the use of a double null cone foliation of the spacetime." @default.
- W2537173608 created "2016-10-28" @default.
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- W2537173608 date "2016-10-19" @default.
- W2537173608 modified "2023-10-17" @default.
- W2537173608 title "The maximal existence region of the analytic solutions for a class of characteristic Einstein vacuum equations" @default.
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- W2537173608 doi "https://doi.org/10.48550/arxiv.1610.06025" @default.
- W2537173608 hasPublicationYear "2016" @default.
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