Definition 5 Consider a solution to Equations (16
)–(17
). Assume
for some
and that
Let . By the observations made prior to the definition,
has smooth expansions in the neighborhood
of
. In particular
converges to a smooth
function
in
and the convergence is exponential in any
-norm. We call
a
non-degenerate true spike if
.
The choice of is unimportant. Note that nondegenerate true spikes have punctured neighborhoods
with normal expansions.
http://www.livingreviews.org/lrr-2010-2 |
Living Rev. Relativity 13, (2010), 2
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