Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A class of solutions for Einstein field equations with spatially varying
  cosmological constant in spherically symmetric anisotropic source   In this work a class of interior solution for Einstein field equations
corresponding to a spherically symmetric anisotropic fluid sphere has been
obtained under the assumption that the cosmological constant is spatially
variable. The solution obtained has the characteristics that the pressure and
the cosmological parameter vanish at the centre and at the boundary with a
maximum value somewhere inside the body. It has been argued that a variable $
\Lambda $ is as much important physically in Astrophysics as in Cosmology.

18
The categories of this paper are: econ
16
The categories of this paper are: stat
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
31
The categories of this paper are: ao-sci
27
The categories of this paper are: comp-gas
13
The categories of this paper are: quant-ph
1
The categories of this paper are: cs
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn
20
The categories of this paper are: acc-phys
26
The categories of this paper are: bayes-an
32
The categories of this paper are: atom-ph
37
The categories of this paper are: supr-con
0
The categories of this paper are: hep-ph