Towards Skyrmion stars: Large baryon configurations in the Einstein-Skyrme model

Piette, Bernard; Probert, Gavin I.

doi:10.1103/physrevd.75.125023

Cited by 29 publications

(31 citation statements)

References 16 publications

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“…The radial profile function FðxÞ stays approximately at its boundary value, , for a finite radial distance before decreasing monotonically over some small region and finally attaining its second boundary value, 0. A similar behavior is seen for both the mass field, ðxÞ, and the metric field, AðxÞ [9]. As the baryon number is increased, the shell-like structure becomes more pronounced, with the distance before the fields change (shell radius) increasing significantly, while the distance over which the fields change (shell width) settles to a constant size.…”

Section: The Rational Map Ansatzsupporting

confidence: 57%

“…This paper continues the work of [9] which studied large baryon number Skyrmions in the Einstein-Skyrme model and configurations of such Skyrmions in an attempt to investigate if stable solitonic stars could exist within the model. The first study into this topic [4] predicted that such stars would be unstable, however, this work used the hedgehog ansatz which is unstable for baryon number greater than one even before the Skyrme model is coupled to gravity.…”

Section: Introductionmentioning

confidence: 67%

“…The previous study [9] of stable solitonic stars attempted to solve these field equations (with the pion mass, , set to zero) to produce solutions that would model realistic neutron stars.…”

Section: The Rational Map Ansatzmentioning

confidence: 99%

“…The discovery [10,11] that stable shell-like solutions to the Skyrme model can be produced using the rational map ansatz led to the work in [9]. It was found, after an approximation to allow the solution to be found numerically, that for a baryon number comparable to that of a neutron star (of order 10 57 ) a shell-like stable solution could be found.…”

Section: Introductionmentioning

confidence: 99%

“…The previous work by Piette and Probert [9] is then reviewed, introducing the rational map ansatz and studying the results, before considering an improved ansatz to this model, the multilayer ansatz. This is introduced and the results of implementing it are studied.…”

Section: Introductionmentioning

confidence: 99%

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Skyrmion stars and the multilayered rational map ansatz

Nelmes

Piette

2011

Phys. Rev. D

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Use policyThe full-text may be used and/or reproduced, and given to third parties in any format or medium, without prior permission or charge, for personal research or study, educational, or not-for-prot purposes provided that:• a full bibliographic reference is made to the original source • a link is made to the metadata record in DRO • the full-text is not changed in any way The full-text must not be sold in any format or medium without the formal permission of the copyright holders.Please consult the full DRO policy for further details. We investigate the large baryon number sector of the Einstein-Skyrme model as a possible model for baryon stars and construct low energy configurations that resemble neutron stars. Previous studies have shown that gravitating Skyrmions produced by using rational maps can achieve spherically symmetric, multibaryon-bound states at large baryon numbers, but these configurations were hollow shells. In this paper, we improve on the previous work by constructing configurations corresponding to solid spheres with a radius-dependent baryon density.

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Section: The Rational Map Ansatzsupporting

confidence: 57%

Section: Introductionmentioning

confidence: 67%

Section: The Rational Map Ansatzmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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Skyrmion stars and the multilayered rational map ansatz

Nelmes

Piette

2011

Phys. Rev. D

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Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

Cartwright

Harms

Kaminski

2021

J. High Energ. Phys.

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We report analytically known states at non-zero temperature which may serve as a powerful tool to reveal common topological and thermodynamic properties of systems ranging from the QCD phase diagram to topological phase transitions in condensed matter materials. In the holographically dual gravity theory, these are analytic solutions to a five-dimensional non-linear-sigma (Skyrme) model dynamically coupled to Einstein gravity. This theory is shown to be holographically dual to $$ \mathcal{N} $$ N = 4 Super-Yang-Mills theory coupled to an SU(2)-current. All solutions are fully backreacted asymptotically Anti-de Sitter (AdS) black branes or holes. One family of global AdS black hole solutions contains non-Abelian gauge field configurations with positive integer Chern numbers and finite energy density. Larger Chern numbers increase the Hawking-Page transition temperature. In the holographically dual field theory this indicates a significant effect on the deconfinement phase transition. Black holes with one Hawking temperature can have distinct Chern numbers, potentially enabling topological transitions. A second family of analytic solutions, rotating black branes, is also provided. These rotating solutions induce states with propagating charge density waves in the dual field theory. We compute the Hawking temperature, entropy density, angular velocity and free energy for these black holes/branes. These correspond to thermodynamic data in the dual field theory. For these states the energy-momentum tensor, (non-)conserved current, and topological charge are interpreted.

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Gravitating BPS Skyrmions

Gudnason

Nitta

Sawado

2015

J. High Energ. Phys.

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The BPS Skyrme model has many exact analytic solutions in flat space. We generalize the model to a curved space or spacetime and find that the solutions can only be BPS for a constant time-time component of the metric tensor. We find exact solutions on the curved spaces: a 3-sphere and a 3-hyperboloid; and we further find an analytic gravitating Skyrmion on the 3-sphere. For the case of a nontrivial time-time component of the metric, we suggest a potential for which we find analytic solutions on anti-de Sitter and de Sitter spacetimes in the limit of no gravitational backreaction. We take the gravitational coupling into account in numerical solutions and show that they are well approximated by the analytic solutions for weak gravitational coupling.

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Towards Skyrmion stars: Large baryon configurations in the Einstein-Skyrme model

Cited by 29 publications

References 16 publications

Skyrmion stars and the multilayered rational map ansatz

Skyrmion stars and the multilayered rational map ansatz

Topological or rotational non-Abelian gauge fields from Einstein-Skyrme holography

Gravitating BPS Skyrmions

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