Peeling properties of asymptotically flat solutions to the Einstein vacuum equations

Sergiu Klainerman; Francesco Nicolò

doi:10.1088/0264-9381/20/14/319

Peeling properties of asymptotically flat solutions to the Einstein vacuum equations

Sergiu Klainerman, Francesco Nicolò

Mathematics

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

We show that, under stronger asymptotic decay and regularity properties than those used in Christodoulou D and Klainerman S (1993 The Global Non Linear Stability of the Minkowski Space (Princeton Mathematical Series vol 41) (Princeton, NJ: Princeton University Press)) and Klainerman S and Nicolò F (2003 The Evolution Problem in General Relativity (Progress in Mathematical Physics vol 25) (Boston: Birkhauser)), asymptotically flat initial datasets lead to solutions of the Einstein vacuum equations which have strong peeling properties consistent with the predictions of the conformal compactification approach of Penrose. More precisely we provide a systematic picture of the relationship between various asymptotic properties of the initial datasets and the peeling properties of the corresponding solutions.

Original language	English (US)
Pages (from-to)	3215-3257
Number of pages	43
Journal	Classical and Quantum Gravity
Volume	20
Issue number	14
DOIs	https://doi.org/10.1088/0264-9381/20/14/319
State	Published - Jul 21 2003

All Science Journal Classification (ASJC) codes

Physics and Astronomy (miscellaneous)

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10.1088/0264-9381/20/14/319

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abstract = "We show that, under stronger asymptotic decay and regularity properties than those used in Christodoulou D and Klainerman S (1993 The Global Non Linear Stability of the Minkowski Space (Princeton Mathematical Series vol 41) (Princeton, NJ: Princeton University Press)) and Klainerman S and Nicol{\`o} F (2003 The Evolution Problem in General Relativity (Progress in Mathematical Physics vol 25) (Boston: Birkhauser)), asymptotically flat initial datasets lead to solutions of the Einstein vacuum equations which have strong peeling properties consistent with the predictions of the conformal compactification approach of Penrose. More precisely we provide a systematic picture of the relationship between various asymptotic properties of the initial datasets and the peeling properties of the corresponding solutions.",

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AB - We show that, under stronger asymptotic decay and regularity properties than those used in Christodoulou D and Klainerman S (1993 The Global Non Linear Stability of the Minkowski Space (Princeton Mathematical Series vol 41) (Princeton, NJ: Princeton University Press)) and Klainerman S and Nicolò F (2003 The Evolution Problem in General Relativity (Progress in Mathematical Physics vol 25) (Boston: Birkhauser)), asymptotically flat initial datasets lead to solutions of the Einstein vacuum equations which have strong peeling properties consistent with the predictions of the conformal compactification approach of Penrose. More precisely we provide a systematic picture of the relationship between various asymptotic properties of the initial datasets and the peeling properties of the corresponding solutions.

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