Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Simple inhomogeneous cosmological (toy) models   Based on the Lema\^itre-Tolman-Bondi (LTB) metric we consider two flat
inhomogeneous big-bang models. We aim at clarifying, as far as possible
analytically, basic features of the dynamics of the simplest inhomogeneous
models and to point out the potential usefulness of exact inhomogeneous
solutions as generalizations of the homogeneous configurations of the
cosmological standard model. We discuss explicitly partial successes but also
potential pitfalls of these simplest models. Although primarily seen as toy
models, the relevant free parameters are fixed by best-fit values using the
Joint Light-curve Analysis (JLA)-sample data. On the basis of a likelihood
analysis we find that a local hump with an extension of almost 2 Gpc provides a
better description of the observations than a local void for which we obtain a
best-fit scale of about 30 Mpc. Future redshift-drift measurements are
discussed as a promising tool to discriminate between inhomogeneous
configurations and the $\Lambda$CDM model.

19
The categories of this paper are: eess
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
18
The categories of this paper are: econ
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
2
The categories of this paper are: math
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
11
The categories of this paper are: hep-lat
23
The categories of this paper are: solv-int
32
The categories of this paper are: atom-ph