Definition 6 Consider a solution to Equations (16
)–(17
). Assume
for some
and that
Let . By Proposition 2, we get the conclusion that
has smooth
expansions in a neighborhood
of
. In particular,
converges to a smooth function
in
, and the convergence is exponential in any
-norm. By Proposition 1,
. We
call
a nondegenerate false spike if
.
Note that nondegenerate false spikes have punctured neighborhoods with normal expansions.
http://www.livingreviews.org/lrr-2010-2 |
Living Rev. Relativity 13, (2010), 2
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