Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Upper Limit on the Central Density of Dark Matter in the Eddington
  inspired Born-Infield (EiBI) Gravity   We investigate the stability of circular material orbits in the analytic
galactic metric recently derived by Harko \textit{et al.} (2014). It turnsout
that stability depends more strongly on the dark matter central density
$%\rho_{0}$ than on other parameters of the solution. This property then yields
an upper limit on $\rho _{0}$ for each individual galaxy, which we call here
$\rho _{0}^{\text{upper}}$, such that stable circular orbits are possible
\textit{only} when the constraint $\rho _{0}\leq \rho _{0}^{\text{upper}}$ is
satisfied. This is our new result. To approximately quantify the upper limit,
we consider as a familiar example our Milky Way galaxy that has a projected
dark matter radius $R_{\text{DM}}\sim 180$ kpc and find that $\rho
_{0}^{\text{upper}}\sim 2.37\times 10^{11}$ $M_{\odot }$kpc$^{-3}$. This limit
turns out to be about four orders of magnitude larger than the latest data on
central density $\rho _{0}$ arising from the fit to the Navarro-Frenk-White
(NFW) and Burkert density profiles. Such consistency indicates that the EiBI
solution could qualify as yet another viable alternative model for dark matter.

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The categories of this paper are: funct-an
0
The categories of this paper are: hep-ph
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The categories of this paper are: hep-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: math-ph
2
The categories of this paper are: math
4
The categories of this paper are: cond-mat
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The categories of this paper are: stat
37
The categories of this paper are: supr-con
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The categories of this paper are: q-bio
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The categories of this paper are: comp-gas
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The categories of this paper are: bayes-an
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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: cs
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The categories of this paper are: hep-th