Scalar field confinement as a model for accreting systems

Megevand, Miguel; Olabarrieta, Ignacio; Lehner, Luis

doi:10.1088/0264-9381/24/13/007

Cited by 9 publications

(10 citation statements)

References 28 publications

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“…As boundary condition we impose at r = R out the relation u ′ = −|k|u with the constant k defined in Eq. (12) to ensure that u(r) falls exponentially at large r (see also [46] for more details). For the left boundary condition we just impose u(R in ) = 1, since the equation is homogeneous so u(r) can be rescaled afterwards.…”

Section: A Initial Datamentioning

confidence: 99%

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Are black holes a serious threat to scalar field dark matter models?

et al. 2011

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Classical scalar fields have been proposed as possible candidates for the dark matter component of the universe. Given the fact that super-massive black holes seem to exist at the center of most galaxies, in order to be a viable candidate for the dark matter halo a scalar field configuration should be stable in the presence of a central black hole, or at least be able to survive for cosmological time-scales. In the present work we consider a scalar field as a test field on a Schwarzschild background, and study under which conditions one can obtain long-lived configurations. We present a detailed study of the Klein-Gordon equation in the Schwarzschild spacetime, both from an analytical and numerical point of view, and show that indeed there exist quasi-stationary solutions that can remain surrounding a black hole for large time-scales.Comment: 34 pages, 13 figure

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Section: A Initial Datamentioning

confidence: 99%

“…In order to find numerical solutions to the Klein-Gordon equation, we define a set of first order derivatives, and obtain a system of evolution equations of the form ∂ t Ψ + B∂ r Ψ = S, with B a symmetric matrix and Ψ the vector formed from first derivatives in space and time of ψ lm . See references [46,52] for details.…”

Section: B Numerical Evolutionmentioning

confidence: 99%

Are black holes a serious threat to scalar field dark matter models?

et al. 2011

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“…To obtain solutions for ℓ 25 we use a "shooting to a fitting point method" based on [55], implemented in a code which is described in [56]. It consist of doing a direct numerical integration of the ordinary differential equations starting both from the left and right boundaries, at which one imposes either appropriate physical conditions or guesses when those are undetermined, with the goal of matching both the fields and their first derivatives at some intermediate point.…”

Section: Discussionmentioning

confidence: 99%

Extreme $\ell$-boson stars

Alcubierre,

Barranco,

Bernal

et al. 2021

Preprint

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A new class of complex scalar field objects, which generalize the well known boson stars, was recently found as solutions to the Einstein-Klein-Gordon system. The generalization consists in incorporating some of the effects of angular momentum, while still maintaining the spacetime's spherical symmetry. These new solutions depend on an (integer) angular parameter ℓ, and hence were named ℓ-boson stars. Like the standard ℓ = 0 boson stars these configurations admit a stable branch in the solution space; however, contrary to them they have a morphology that presents a shell-like structure with a "hole" in the internal region. In this article we perform a thorough exploration of the parameter space, concentrating particularly on the extreme cases with large values of ℓ. We show that the shells grow in size with the angular parameter, doing so linearly for large values, with the size growing faster than the thickness. Their mass also increases with ℓ, but in such a way that their compactness, while also growing monotonically, converges to a finite value corresponding to about one half of the Buchdahl limit. Furthermore, we show that ℓ-boson stars can be highly anisotropic, with the radial pressure diminishing relative to the tangential pressure for large ℓ, reducing asymptotically to zero, and with the maximum density also approaching zero. We show that these properties can be understood by analyzing the asymptotic limit ℓ → ∞ of the field equations and their solutions. We also analyze the existence and characteristics of both timelike and null circular orbits, especially for very compact solutions.

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“…It was shown that non-trivial scalar field profiles can survive in the vicinity of black holes for cosmological times for a certain range of black hole and scalar field masses. The equations of motion are evolved numerically using second-order derivative operators satisfying summation by parts and a third-order Runge-Kutta operator for the time integration, as described in [41]. Finally, in [42], the accretion of a scalar field responsible for screening mechanisms by a static Schwarzschild black hole has been modelled using spectral methods and Gauss-Legendre time integration.…”

Section: Introductionmentioning

confidence: 99%

“…The equations of motion are evolved numerically using second-order derivative operators satisfying summation by parts and a third-order Runge-Kutta operator for the time integration, as described in Ref. [41]. Finally, in Ref.…”

Section: Introductionmentioning

confidence: 99%

Accretion of a symmetry-breaking scalar field by a Schwarzschild black hole

Traykova

Braden

Peiris

2018

Phil. Trans. R. Soc. A.

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We simulate the behaviour of a Higgs-like field in the vicinity of a Schwarzschild black hole using a highly accurate numerical framework. We consider both the limit of the zero-temperature Higgs potential and a toy model for the time-dependent evolution of the potential when immersed in a slowly cooling radiation bath. Through these numerical investigations, we aim to improve our understanding of the non-equilibrium dynamics of a symmetry-breaking field (such as the Higgs) in the vicinity of a compact object such as a black hole. Understanding this dynamics may suggest new approaches for studying properties of scalar fields using black holes as a laboratory.This article is part of the Theo Murphy meeting issue 'Higgs Cosmology'.

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Scalar field confinement as a model for accreting systems

Cited by 9 publications

References 28 publications

Are black holes a serious threat to scalar field dark matter models?

Are black holes a serious threat to scalar field dark matter models?

Extreme $\ell$-boson stars

Accretion of a symmetry-breaking scalar field by a Schwarzschild black hole

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