# Gravitational interactions of finite thickness global topological defects with black holes

@article{Perivolaropoulos2018GravitationalIO,
title={Gravitational interactions of finite thickness global topological defects with black holes},
author={Leandros Perivolaropoulos},
journal={Physical Review D},
year={2018}
}
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…
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## References

SHOWING 1-10 OF 108 REFERENCES

• Physics
Physical review. D, Particles and fields
• 1990
This work solves numerically the coupled equations for the metric and the scalar field, to precisely determine this repulsive gravitational potential and in order to analyze the solution when gravitational effects are already significant close to the monopole core.
• Physics
• 1998
We discuss the generalized Plateau problem in the 3+1 dimensional Schwarzschild background. This represents the physical situation, which could for instance have appeared in the early universe, where
• Physics
• 2007
We study the deformation of a long cosmic string by a nearby rotating black hole. We examine whether the deformation of a cosmic string, induced by the gravitational field of a Kerr black hole, may
• Physics
• 2000
Solutions of Einstein's equations are found for global defects in a higher-dimensional spacetime with a nonzero cosmological constant Lambda. The defect has a (p-1)-dimensional core (brane) and a
• Physics
• 1997
We demonstrate that field theories involving explicit breaking of continous symmetries incorporate two generic classes of topological defects each of which is stable for a particular range of
• Physics
• 2017
We present the first cosmic microwave background (CMB) power spectra from numerical simulations of the global O(N) linear σ-model, with N=2,3, which have global strings and monopoles as topological
• Physics
• 1997
The null string equations of motion and constraints in Schwarzschild spacetime are given. The solutions are those of the null geodesics of general relativity appended by a null string constraint in