Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Asymptotically flat wormhole solutions with variable equation-of-state
  parameter   In this paper, we study exact wormhole solutions in the framework of general
relativity with a general equation of state that reduced to a linear equation
of state asymptotically. By considering a special shape function, we find
classes of solutions which are asymptotically flat. We study the violation of
NEC as the main ingredient in the wormhole physics. We investigate the
possibility of finding wormhole solutions with asymptotically different state
parameter. We show that in principle, wormhole with vanishing redshift function
and the selected shape function, cannot satisfy NEC at large infinity. We
present solutions which have the positive total amount of mater in the "volume
integral quantifier" method. For this class of solutions, fluid near the
wormhole throat is in the phantom regime and at some $r=r_{2}$, the phantom
regime is connected to a dark energy regime. Thus, we need small amount of
exotic matter to construct wormhole solutions.

37
The categories of this paper are: supr-con
18
The categories of this paper are: econ
24
The categories of this paper are: dg-ga
19
The categories of this paper are: eess
35
The categories of this paper are: mtrl-th
27
The categories of this paper are: comp-gas
21
The categories of this paper are: adap-org
14
The categories of this paper are: math-ph
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
2
The categories of this paper are: math
23
The categories of this paper are: solv-int
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg