Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Price's Law on Nonstationary Spacetimes   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 \cite{MR0376103}) 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 \cite{Tat} 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.

12
The categories of this paper are: nucl-th
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The categories of this paper are: adap-org
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The categories of this paper are: quant-ph
29
The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
35
The categories of this paper are: mtrl-th
26
The categories of this paper are: bayes-an
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The categories of this paper are: nucl-ex
32
The categories of this paper are: atom-ph
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The categories of this paper are: q-fin
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The categories of this paper are: econ
5
The categories of this paper are: gr-qc
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The categories of this paper are: solv-int
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The categories of this paper are: astro-ph
31
The categories of this paper are: ao-sci
7
The categories of this paper are: hep-th