Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Perturbative evolution of nonlinear initial data for binary black holes:
  Zerilli vs. Teukolsky   We consider the problem of evolving nonlinear initial data in the close limit
regime. Metric and curvature perturbations of nonrotating black holes are
equivalent to first perturbative order, but Moncrief waveform in the former
case and Weyl scalar $\psi_4$ in the later differ when nonlinearities are
present. For exact Misner initial data (two equal mass black holes initially at
rest), metric perturbations evolved via the Zerilli equation suffer of a
premature break down (at proper separation of the holes $L/M\approx2.2$) while
the exact Weyl scalar $\psi_4$ evolved via the Teukolsky equation keeps a very
good agreement with full numerical results up to $L/M\approx3.5$. We argue that
this inequivalent behavior holds for a wider class of conformally flat initial
data than those studied here. We then discuss the relevance of these results
for second order perturbative computations and for perturbations to take over
full numerical evolutions of Einstein equations.

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The categories of this paper are: astro-ph
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The categories of this paper are: dg-ga
34
The categories of this paper are: chem-ph
32
The categories of this paper are: atom-ph
31
The categories of this paper are: ao-sci
36
The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
4
The categories of this paper are: cond-mat
2
The categories of this paper are: math
27
The categories of this paper are: comp-gas
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs
30
The categories of this paper are: q-alg
10
The categories of this paper are: q-bio
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol