Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Effect of Accelerated Global Expansion on Bending of Light   In 2007 Rindler and Ishak showed that, contrary to previous claims, the value
of the cosmological constant does have an effect on light deflection by a
gravitating object in an expanding universe, modeled by a
Schwarzschild-de~Sitter spacetime. In this paper we consider light bending in
the more general situation of a gravitating object in a cosmological background
with varying expansion rate $H(t)$. We calculate numerically the null geodesics
representing light rays deflected by a black hole in an accelerating
Friedmann-Lema\^itre-Robertson-Walker universe, modeled by a McVittie metric.
Keeping the values of the distances from the observer to the lensing object and
to the source fixed, we plot the dependence of the bending angle measured by
two different sets of observers in this spacetime on the rate of change of
$H(t)$.

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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: adap-org
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The categories of this paper are: q-alg
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The categories of this paper are: atom-ph
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The categories of this paper are: nucl-th
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: cond-mat
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The categories of this paper are: math-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: hep-th
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The categories of this paper are: chao-dyn
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The categories of this paper are: chem-ph
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The categories of this paper are: cmp-lg
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The categories of this paper are: mtrl-th