Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Pathologies of hyperbolic gauges in general relativity and other field
  theories   We present a mathematical characterization of hyperbolic gauge pathologies in
general relativity and electrodynamics. We show how non-linear gauge terms can
produce a blow-up along characteristics and how this can be identified
numerically by performing convergence analysis. Finally, we show some numerical
examples and discuss the profound implications this may have for the field of
numerical relativity.

25
The categories of this paper are: patt-sol
35
The categories of this paper are: mtrl-th
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
17
The categories of this paper are: q-fin
37
The categories of this paper are: supr-con
27
The categories of this paper are: comp-gas
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
34
The categories of this paper are: chem-ph
14
The categories of this paper are: math-ph
29
The categories of this paper are: funct-an
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn