Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: An analytical approximation for the Einstein-dilaton-Gauss-Bonnet black
  hole metric   We construct an analytical approximation for the numerical black hole metric
of P. Kanti, et. al. [PRD54, 5049 (1996)] in the four-dimensional
Einstein-dilaton-Gauss-Bonnet (EdGB) theory. The continued fraction expansion
in terms of a compactified radial coordinate, used here, converges slowly when
the dilaton coupling approaches its extremal values, but for a black hole far
from the extremal state, the analytical formula has a maximal relative error of
a fraction of one percent already within the third order of the continued
fraction expansion. The suggested analytical representation of the numerical
black hole metric is relatively compact and good approximation in the whole
space outside the black hole event horizon. Therefore, it can serve in the same
way as an exact solution when analyzing particles' motion, perturbations,
quasinormal modes, Hawking radiation, accreting disks and many other problems
in the vicinity of a black hole. In addition, we construct the approximate
analytical expression for the dilaton field.

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The categories of this paper are: nlin
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The categories of this paper are: acc-phys
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-lat
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The categories of this paper are: funct-an
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The categories of this paper are: hep-ex
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: q-fin
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The categories of this paper are: mtrl-th
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The categories of this paper are: ao-sci
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The categories of this paper are: nucl-ex
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The categories of this paper are: eess
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The categories of this paper are: math
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The categories of this paper are: bayes-an
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The categories of this paper are: math-ph