Compact<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Q</mml:mi></mml:math>-balls in the complex signum-Gordon model

Arodź, Henryk; Lis, Jakub

doi:10.1103/physrevd.77.107702

Cited by 45 publications

(78 citation statements)

References 14 publications

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“…In a recent paper [3] we have shown that the Q-balls can be found also in the complex signum-Gordon model. They differ from other Q-balls by their strictly finite size: the vacuum field ψ = 0 outside a spherically symmetric Q-ball is reached at a finite radius R, and it is approached in a parabolic manner.…”

Section: Introductionmentioning

confidence: 84%

CompactQ-balls andQ-shells in a scalar electrodynamics

2009

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We investigate spherically symmetric non topological solitons in electrodynamics with a scalar field self interaction U ∼ |ψ| taken from the complex signum-Gordon model. We find Q-balls for small absolute values of the total electric charge Q, and Q-shells when |Q| is large enough. In both cases the charge density exactly vanishes outside certain compact region in the three dimensional space. The dependence of the total energy E of small Q-balls on the total electric charge has the form E ∼ |Q| 5/6 , while in the case of very large Q-shells E ∼ |Q| 7/6 .

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Section: Introductionmentioning

confidence: 84%

CompactQ-balls andQ-shells in a scalar electrodynamics

2009

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“…Hence, there are different possibilities to define the "radius" of our boson star solutions. Let us remark that models with a V-shaped potential have been considered [30,31] that possess compact boson stars with a well-defined outer radius (very similar to those of "standard stars") [32][33][34]. Here we follow [35] and define the radius of the boson star as an averaged radial coordinate…”

Section: B Mass Charge and Radiusmentioning

confidence: 99%

Gauss–Bonnet boson stars

2013

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We construct boson stars in (4+1)-dimensional Gauss-Bonnet gravity. We study the properties of the solutions in dependence on the coupling constants and investigate these in detail. While the "thick wall" limit is independent of the value of the Gauss-Bonnet coupling, we find that the spiraling behaviour characteristic for boson stars in standard Einstein gravity disappears for large enough values of the Gauss-Bonnet coupling. Our results show that in this case the scalar field can not have arbitrarily high values at the center of the boson star and that it is hence impossible to reach the "thin wall" limit. Moreover, for large enough Gauss-Bonnet coupling we find a unique relation between the mass and the radius (qualitatively similar to those of neutron stars) which is not present in the Einstein gravity limit.

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“…Recently, a new type of scalar potential for Q-balls was considered, leading to the signumGordan equation for the scalar field [3,4]. This potential gives rise to spatially compact Qballs, where the scalar field vanishes identically outside a critical radius r o [3].…”

Section: Introductionmentioning

confidence: 99%

“…This potential gives rise to spatially compact Qballs, where the scalar field vanishes identically outside a critical radius r o [3]. When coupled to electromagnetism, a new type of solution appears, Q-shells [4].…”

Section: Introductionmentioning

confidence: 99%

Charged boson stars and black holes

et al. 2009

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We consider boson stars and black holes in scalar electrodynamics with a V-shaped scalar potential. The boson stars come in two types, having either ball-like or shell-like charge density. We analyze the properties of these solutions and determine their domains of existence. When mass and charge become equal, the space-times develop a throat. The shell-like solutions need not be globally regular, but may possess a horizon. The space-times then consist of a Schwarzschild-type black hole in the interior, surrounded by a shell of charged matter, and thus a Reissner-Nordström-type space-time in the exterior. These solutions violate black hole uniqueness. The mass of the black hole solutions is related to the mass of the regular shell-like solutions by a mass formula of the type first obtained within the isolated horizon framework.

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CompactQ-balls in the complex signum-Gordon model

Cited by 45 publications

References 14 publications

CompactQ-balls andQ-shells in a scalar electrodynamics

CompactQ-balls andQ-shells in a scalar electrodynamics

Gauss–Bonnet boson stars

Charged boson stars and black holes

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