Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Simplest Exact Solutions in the LTB Model   The rules of calculating three undetermined functions which defined a
solution in the LTB model are used to study the class of exact nonhomogene\-ous
models with $f^2(\mu) = 1$, $\Lambda = 0$. The parameter $\nu(\mu)$ defined the
difference between LTB and FRW models is found out and the limit transformation
to the FRW model is shown. The initial conditions are present throught density
and Habble function at the moment of time $\tau = 0$. Two criteria of
homogeneous of matter distribution are studied. The asimptotic of the present
solution for $\tau \rightarrow +\infty$ is studied.

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The categories of this paper are: q-alg
8
The categories of this paper are: hep-ex
3
The categories of this paper are: physics
22
The categories of this paper are: chao-dyn
6
The categories of this paper are: astro-ph
14
The categories of this paper are: math-ph
37
The categories of this paper are: supr-con
21
The categories of this paper are: adap-org
23
The categories of this paper are: solv-int
18
The categories of this paper are: econ
35
The categories of this paper are: mtrl-th
20
The categories of this paper are: acc-phys
25
The categories of this paper are: patt-sol
11
The categories of this paper are: hep-lat
9
The categories of this paper are: nlin
2
The categories of this paper are: math