Gravitational interactions of finite thickness global topological defects with black holes

  title={Gravitational interactions of finite thickness global topological defects with black holes},
  author={Leandros Perivolaropoulos},
  journal={Physical Review D},
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… 

Figures from this paper

Radially symmetric scalar solitons

A class of noncanonical effective potentials is introduced allowing stable, radially symmetric, solutions to first order Bogomol’nyi equations for a real scalar field in a fixed spacetime background.

Gravitational transitions via the explicitly broken symmetron screening mechanism

We generalize the symmetron screening mechanism by allowing for an explicit symmetry breaking of the symmetron φ 4 potential. A coupling to matter of the form A ( φ ) = 1+ φ 2 M 2 leads to an

Localized scalar structures around static black holes

In this work we address a way to capture scalar field solutions on static spacetimes by using BPS formalism and relaxing the general covariance condition. We focus on configurations where the

Existence and stability of static spherical fluid shells in a Schwarzschild-Rindler–anti–de Sitter metric

We demonstrate the existence of static stable spherical fluid shells in the Schwarzschild-Rindler-anti-de Sitter (SRAdS) spacetime where $ds^2 = f(r)dt^{2} -\frac{dr^{2}}{f(r)}-r^{2}(d\theta ^2 +\sin

Stable, Spherical and Thin Fluid Shells

We consider and prove the existence of stable, spherical, and thin fluid shells in the context of a Schwarzschild–Rindler-anti-de Sitter (SRAdS) background. We identify the metric parameter regions

Analytical scalar field solutions on Lifshitz spacetimes

In this work, we investigate the existence of analytic solutions of static scalar fields on Lifshitz spacetimes. We evade Derrick’s theorem on curved spacetimes by breaking general covariance and use

Evading Derrick’s theorem in curved space: Static metastable spherical domain wall

A recent analysis by one of the authors\cite{Perivolaropoulos:2018cgr} has pointed out that Derrick's theorem can be evaded in curved space. Here we extend that analysis by demonstrating the



Gravitational field of a global defect

Global topological defects described by real scalar field in (3,1) dimensions coupled to gravity are analyzed. We consider a class of scalar potentials with explicit dependence with distance, evading

Repulsive gravitational effects of global monopoles.

  • HarariLoustó
  • 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.

Soap Bubbles in Outer Space: Interaction of a Domain Wall with a Black Hole

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


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

Gravity of higher dimensional global defects

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

Topological defects with a nonsymmetric core

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

Cosmic microwave background constraints for global strings and global monopoles

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

Null strings in Schwarzschild spacetime

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