TY - JOUR

T1 - Peeling properties of asymptotically flat solutions to the Einstein vacuum equations

AU - Klainerman, Sergiu

AU - Nicolò, Francesco

PY - 2003/7/21

Y1 - 2003/7/21

N2 - 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.

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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U2 - 10.1088/0264-9381/20/14/319

DO - 10.1088/0264-9381/20/14/319

M3 - Article

AN - SCOPUS:0038372932

SN - 0264-9381

VL - 20

SP - 3215

EP - 3257

JO - Classical and Quantum Gravity

JF - Classical and Quantum Gravity

IS - 14

ER -