Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Bonnor stars in d spacetime dimensions   Bonnor stars are regular static compact configurations in equilibrium,
composed of an extremal dust fluid, a charged dust fluid where the mass density
is equal to the charge density, joined to an exterior vacuum solution, within
Newtonian gravity and general relativity. In four dimensions, they obey the
corresponding Majumdar-Papapetrou system, where the gravitational potential is
a simple function of the electric potential field and the fluid, when there is
one, is made of extremal dust. The Majumdar-Papapetrou system can be
generalized to d spacetime dimensions. Thus, it is natural to study Bonnor
solutions in higher d dimensions. We analyze Newton-Coulomb theory with an
electrically charged fluid in a Majumdar-Papapetrou context, in d=n+1 spacetime
dimensions, n the number of spatial dimensions. Within the Newtonian theory, in
vacuum, the Majumdar-Papapetrou relation for the gravitational potential in
terms of the electric potential, and its related Weyl relation, are equivalent,
in contrast with general relativity. We study a class of spherically symmetric
Bonnor stars. Under sufficient compactification they form point mass charged
Newtonian singularities. We study the analogue systems in the Einstein-Maxwell
theory with an electrically charged fluid. We restate some properties of this
system and obtain spherically symmetric Bonnor star solutions in d=n+1
spacetime dimensions. These stars, under compactification, form quasi-black
holes. Whereas there are no solutions for Newtonian or relativistic stars
supported by degenerate pressure in higher dimensions, higher dimensional
Bonnor stars, supported by electric repulsion, do indeed have solutions within
Newtonian gravity and general relativity. So the existence of stars depends on
the number of dimensions and on the underlying field content.

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The categories of this paper are: math
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: hep-ph
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The categories of this paper are: nlin
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The categories of this paper are: physics
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The categories of this paper are: plasm-ph
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The categories of this paper are: alg-geom
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The categories of this paper are: nucl-ex
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The categories of this paper are: patt-sol
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The categories of this paper are: supr-con
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The categories of this paper are: atom-ph
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The categories of this paper are: chem-ph
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The categories of this paper are: acc-phys
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The categories of this paper are: q-bio
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The categories of this paper are: eess