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Perforation of domain wall by point mass
High Energy Physics - Theory · Submitted 30 Dec 2013
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim In this setting we are able to describe analytically the perforation of the wall by an impinging particle, showing that it is accompanied by excitation of the spherical shock branon wave propagating outwards with the speed of light.
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The abstract, sentence by sentence
We investigate collision of a point particle and an infinitely thin planar domain wall interacting gravitationally within the linearized gravity in Minkowski space-time of arbitrary dimension. In this setting we are able to describe analytically the perforation of the wall by an impinging particle, showing that it is accompanied by excitation of the spherical shock branon wave propagating outwards with the speed of light. Formally, the shock wave is a free solution of the branon wave equation which has to be added to ensure the validity of the retarded solution at the perforation point. Physically, the domain wall gets excited due to the shake caused by an instantaneous change of sign of the repulsive gravitational force. This effect is shown to hold, in particular, in four space-time dimensions, being applicable to the problem of cosmological domain walls.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We investigate collision of a point particle and an infinitely thin planar domain wall interacting gravitationally within the linearized gravity in Minkowski space-time of arbitrary dimension. | contribution 0.81 | 0.79 | 0.05 | asserted 0.79 |
| s1 | In this setting we are able to describe analytically the perforation of the wall by an impinging particle, showing that it is accompanied by excitation of the spherical shock branon wave propagating outwards with the speed of light. | result 0.89 | 0.95 | 0.78 | asserted 1.00 |
| s2 | Formally, the shock wave is a free solution of the branon wave equation which has to be added to ensure the validity of the retarded solution at the perforation point. | interpretation 0.49 | 0.68 | 0.13 | asserted 1.00 |
| s3 | Physically, the domain wall gets excited due to the shake caused by an instantaneous change of sign of the repulsive gravitational force. | interpretation 0.99 | 0.74 | 0.15 | asserted 1.00 |
| s4 | This effect is shown to hold, in particular, in four space-time dimensions, being applicable to the problem of cosmological domain walls. | interpretation 0.49 | 0.87 | 0.18 | asserted 1.00 |
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The paper
Original abstract
We investigate collision of a point particle and an infinitely thin planar domain wall interacting gravitationally within the linearized gravity in Minkowski space-time of arbitrary dimension. In this setting we are able to describe analytically the perforation of the wall by an impinging particle, showing that it is accompanied by excitation of the spherical shock branon wave propagating outwards with the speed of light. Formally, the shock wave is a free solution of the branon wave equation which has to be added to ensure the validity of the retarded solution at the perforation point. Physically, the domain wall gets excited due to the shake caused by an instantaneous change of sign of the repulsive gravitational force. This effect is shown to hold, in particular, in four space-time dimensions, being applicable to the problem of cosmological domain walls.
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How the literature uses it
3 arXiv papers cite this in 17 sentences
Papers whose main result relates to this one's
States the same result 1 paper
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We show that perforation of the three-brane by mass impinging upon it from the five-dimensional bulk excites Nambu-Goldstone spherical wave propagating outwards with the velocity of light.
Papers citing it · 13 sentences without a confident label
Uses its method or tool 2 papers
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We use the framework first suggested in [ref] and further developed in [ref] , which essentially consists of perturbative description of gravitational interaction of the Nambu-Goto DW and the classical point particle in Minkowski space.
Piercing of domain walls: new mechanism of gravitational radiation · Introduction · 0.99
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As before, we consider first the contribution of $Φ_$ : substituting $Φ_=-ΛI_ (t)$ and $I_$ from ([ref]), one differentiates over $r$ using the recurrence relations for Bessel functions, [equation] and integrates over $k$ using [ref] , to get [equation] where the limit $r →∞$ is to be taken.
Energy-momentum balance in particle - domain wall perforating collision · The lateral flux · 0.87
Compares with it 1 paper
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The plot is presented on Fig. [ref]. iv) The planar shock waves have the structure $ψ∼θ(t±|z|)/r$ which differs from the Aichelburg-Sexl metric [ref] $h_MN ∼c_M c_N δ(t∓z)/r$, where $c^M=(1,0,0,0,±1)$ by the degree of discontinuity: the Heaviside function versus the delta function.
Branestrahlung: radiation in the particle-brane collision · Physical properties of the solution · 1.00
Cites it as background 1 paper
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The particle�s gravitational field causes the perturbation of the brane worldvolume, which is somewhat nontrivial to analyze (the details of which can be found in Refs. [ref] [The transverse coordinate of the brane can be viewed as the Nambu-Goldstone boson (branon) which appears as a result of spontaneous breaking of the translational symmetry [ref] .
Branestrahlung: radiation in the particle-brane collision · Branon · 0.94
What it cites · 14 sentences without a confident label
Builds on 1 paper
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This effect was found in five dimensions in the Randall-Sundrum (RS) type of setting [ref] and here it will be shown to exist in arbitrary space-time dimensions, including the case of domain walls in the four-dimensional cosmology.
Nambu-Goldstone explosion under brane perforation · Introduction · 0.99
Compares with 1 paper
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In that case the string boundary may expand outwards eating the wall as was argued in [ref] .
Puncture of gravitating domain walls · Other limits · 0.94
Cites as background 25 papers
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In the Rundall-Sundrum [ref] setup the particles which are allowed to live in the bulk are expelled from the brane (domain wall) and move along the geodesics into the AdS bulk [ref] .
A Large Mass Hierarchy from a Small Extra Dimension · Introduction · 0.90
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In the Rundall-Sundrum [ref] setup the particles which are allowed to live in the bulk are expelled from the brane (domain wall) and move along the geodesics into the AdS bulk [ref] .
Geodesics and Newton's Law in Brane Backgrounds · Introduction · 0.90
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In the Rundall-Sundrum [ref] setup the particles which are allowed to live in the bulk are expelled from the brane (domain wall) and move along the geodesics into the AdS bulk [ref] .
An Alternative to Compactification · Introduction · 0.90
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