Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Gravitational Interactions of Finite Thickness Global Topological
  Defects with Black Holes   It is well known that global topological defects induce a repulsive
gravitational potential for test particles. 'What is the gravitational
potential induced by black holes with a cosmological constant (Schwarzschild-de
Sitter (S-dS) metric) on finite thickness global topological defects?'. This is
the main question addressed in the present analysis. We also discuss the
validity of Derrick's theorem when scalar fields are embedded in non-trivial
gravitational backgrounds. In the context of the above question, we consider
three global defect configurations: a finite thickness spherical domain wall
with a central S-dS black hole, a global string loop with a S-dS black hole in
the center and a global monopole near a S-dS black hole. Using an analytical
model and numerical simulations of the evolving spherical wall we show that the
spherical wall experiences a repelling gravitational potential due to the mass
of the central black hole. This potential is further amplified by the presence
of a cosmological constant. For initial domain wall radius larger than a
critical value, the repulsive potential dominates over the wall tension and the
wall expands towards the cosmological horizon of the S-dS metric where it
develops ghost instabilities. For smaller initial radius, tension dominates and
the wall contracts towards the black hole horizon where it also develops ghost
instabilities. We also show, using the same analytical model and energetic
arguments that a global monopole is gravitationally attracted by a black hole
while a cosmological constant induces a repulsive gravitational potential as in
the case of test particles. Finally we show that a global string loop with
finite thickness experiences gravitational repulsion due to the cosmological
constant which dominates over its tension for a radius larger than a critical
radius leading to an expanding rather than contracting loop.

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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: cond-mat
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: cs
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The categories of this paper are: cmp-lg
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The categories of this paper are: supr-con
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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: hep-lat
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The categories of this paper are: acc-phys
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The categories of this paper are: alg-geom
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The categories of this paper are: nlin
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The categories of this paper are: stat