کد مقاله کد نشریه سال انتشار مقاله انگلیسی نسخه تمام متن
6425954 1345399 2012 34 صفحه PDF دانلود رایگان
عنوان انگلیسی مقاله ISI
Price's law on nonstationary space-times
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات ریاضیات (عمومی)
پیش نمایش صفحه اول مقاله
Price's law on nonstationary space-times
چکیده انگلیسی

In this article, we study the pointwise decay properties of solutions to the wave equation on a class of nonstationary asymptotically flat backgrounds in three space dimensions. Under the assumption that uniform energy bounds and a weak form of local energy decay hold forward in time we establish a t−3 local uniform decay rate (Price's law, Price (1972) [54]) for linear waves. As a corollary, we also prove Price's law for certain small perturbations of the Kerr metric.This result was previously established by the second author in (Tataru [65]) on stationary backgrounds. The present work was motivated by the problem of nonlinear stability of the Kerr/Schwarzschild solutions for the vacuum Einstein equations, which seems to require a more robust approach to proving linear decay estimates.

ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Advances in Mathematics - Volume 230, Issue 3, 20 June 2012, Pages 995-1028
نویسندگان
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