Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Isotropic compact stars in 4-dimensional Einstein-Gauss-Bonnet gravity
  coupled with scalar field -- Reconstruction of model   Recently, it has been supposed that the Einstein-Gauss Bonnet-theory coupled
with scalar field (EGBS) maybe appropriately admit physically viable models of
celestial phenomena such that scalar field effect is active in standard four
dimensions. We consider the spherically symmetric and static configuration of
the compact star and explain the consequences of EGBS in the frame of stellar
modeling. The development of perfect fluid distributions is controlled by the
pressure isotropy condition and by the requirement that one of the metric
potentials complete model raise from the system of the differential equation.
In our formulation, for any given profile of the energy density $\rho$ of the
spherically symmetric and for arbitrary equation of state (EoS) of matter, we
can construct the model which reproduces the profile. Because the profile of
the energy density determine the mass $M$ and the radius $R_s$ of the compact
star, an arbitrary relation between the mass $M$ and the radius $R_s$ of the
compact star can be realized by adjusting the potential and the coefficient
function of the Gauss-Bonnet term in the action of EGBS. This could be regarded
as an degeneracy between the EoS and the functions characterizing the model,
which tells that only mass-radius relation is insufficient to constrain the
model. As examples, we investigate a novel class of analytic spherically
symmetric interior solution by the polytropic EoS. Our model is discussed in
detail and it is shown that it is in agreement with the necessary physical
conditions required for any realistic compact star approving that EGBS theory
is consistent with observations.

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The categories of this paper are: physics
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The categories of this paper are: q-fin
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The categories of this paper are: acc-phys
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The categories of this paper are: nucl-ex
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The categories of this paper are: quant-ph
31
The categories of this paper are: ao-sci
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: solv-int
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The categories of this paper are: dg-ga
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The categories of this paper are: eess
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The categories of this paper are: math
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The categories of this paper are: comp-gas
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The categories of this paper are: patt-sol
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The categories of this paper are: stat
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The categories of this paper are: q-alg