Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Phantom energy supported wormhole model in $f(R,\,T)$ gravity assuming
  conformal motion   In this article, we have discussed Morris and Thorne (MT) wormhole solutions
in a modified theory of gravity that admits conformal motion. Here we explore
the wormhole solutions in $f(R,\,T)$ gravity, which is a function of the Ricci
scalar ($R$) and the trace of the stress-energy tensor ($T$). To study wormhole
geometries, we make assumption of spherical symmetric static spacetime and the
existence of conformal Killing symmetry to get more acceptable astrophysical
outcomes. To do this, we choose the expression of $f(R,\,T)$ as $f(R,T)= R+2
\gamma T$. Here we employ the phantom energy EoS relating to radial pressure
and density given by $p_r=\omega \rho$ with $\omega<-1$ to constrain our model.
Following a discussion of wormhole geometry and behavior of shape function, the
study moves on to the computation of proper radial distance, active mass
function, the nature of total gravitational energy and a discussion on the
violation of energy conditions. We have shown that the wormhole solutions exist
for positive as well as negative values of the coupling constant $\gamma$. From
our analysis we see that no wormhole solution exists for $\gamma
=-4\pi,\,-\pi(3+\omega)$. All the physical parameters have been drawn by
employing the values of $\gamma$ as $\gamma=-0.3,\,-0.2,\,-0.1,\,0,\,0.1$ and
$0.2$, where $\gamma=0$ corresponds to general relativity (GR) case. It is
found that for our proposed model, a realistic wormhole solutions satisfying
all the properties can be obtained.

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The categories of this paper are: eess
28
The categories of this paper are: alg-geom
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The categories of this paper are: comp-gas
23
The categories of this paper are: solv-int
31
The categories of this paper are: ao-sci
35
The categories of this paper are: mtrl-th
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The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
2
The categories of this paper are: math
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The categories of this paper are: hep-lat