Skyrmion stars and the multilayered rational map ansatz

Abstract

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.

Growing hair on the extremal BTZ black hole

“…A as a function of x is plotted for C = .3 in figure one [dashed curve]. After setting κ = M ∞ = 1, (29) and (30) give a ≈ .9475 and C 0 ≈ −.038 < C, respectively.Similar results are obtained after replacing(27) with other ansätse, for example, ones with winding number greater than one.…”

Neutron stars within the Skyrme model

“…Nelmes and Piette found in Ref. 40 that, qualitatively, everything remains quite the same with a similar behavoir of the fields. However, the critical value of B before solutions cease to exist slightly decreases from B = 2.84 × 10 56 to B = 2.72 × 10 56 with a reduction of the average shell width and a larger value of the energy per baryon.…”

Gravitating BPS Skyrmions

“…For convenience, we will use only the dimensionless coordinate from now on. The baryon-charge density for this solution is 19) and the energy-and pressure densities are given by Eq. (4.9) with…”

“…After the marriage of general relativity and the Skyrmion, some studies have put forward potential applications. In particular, one obvious direction of great interest is the application of the system to neutron stars [18][19][20].…”