Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: General Non-Static Spherically Symmetric Solutions of Einstein Vaccum
  Field Equations with Lambda   1- It is shown that the upper bound for $\alpha$ in the general solutions of
spherically symmetric vacuum field equations(gr-qc/9812081,$\Lambda$=0) is
nearly 10^3.This has been obtained by comparing the theoretical prediction for
bending of light and precession of perihelia with observation. For a
significant range of possible values of$\alpha$ ($\alpha$ >2) the metric is
free of coordinate singularity. 2- It is checked that the singularity in the
non-static spherically symmetric solution of Einstein field equations with
$\Lambda$ (JHEP04(1999)011,$\alpha$ = 0)at the origin is intrinsic. 3- Using
the techniques of these two works, ageneral class of non-static solutions is
presented. They are smooth and finite everywhere and have an extension larger
than Schwarzschild metric. 4- The geodesic equations of a freely material
particle for the general case are solved which reveals a Schwarzschild
-deSitter type potential field.

11
The categories of this paper are: hep-lat
37
The categories of this paper are: supr-con
32
The categories of this paper are: atom-ph
10
The categories of this paper are: q-bio
29
The categories of this paper are: funct-an
2
The categories of this paper are: math
33
The categories of this paper are: plasm-ph
1
The categories of this paper are: cs
9
The categories of this paper are: nlin
24
The categories of this paper are: dg-ga
4
The categories of this paper are: cond-mat
25
The categories of this paper are: patt-sol
27
The categories of this paper are: comp-gas
16
The categories of this paper are: stat
18
The categories of this paper are: econ
22
The categories of this paper are: chao-dyn