Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Low red-shift formula for the luminosity distance in a LTB model with
  cosmological constant   We calculate the low red-shift Taylor expansion for the luminosity distance
for an observer at the center of a spherically symmetric matter inhomogeneity
with a non vanishing cosmological constant. We then test the accuracy of the
formulas comparing them to the numerical calculation for different cases for
both the luminosity distance and the radial coordinate. The formulas can be
used as a starting point to understand the general non linear effects of a
local inhomogeneity in presence of a cosmological constant, without making any
special assumption about the inhomogeneity profile.

4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys
7
The categories of this paper are: hep-th
10
The categories of this paper are: q-bio
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
34
The categories of this paper are: chem-ph
27
The categories of this paper are: comp-gas
0
The categories of this paper are: hep-ph
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The categories of this paper are: cs
18
The categories of this paper are: econ
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
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The categories of this paper are: nucl-th
3
The categories of this paper are: physics