Internal structure of the Skyrme black hole

Abstract

We consider the internal structure of the Skyrme black hole under a static and spherically symmetric ansatz. We concentrate on solutions with the node number one and with the "winding" number zero, where there exist two solutions for each horizon radius; one solution is stable and the other is unstable against linear perturbation. We find that a generic solution exhibits an oscillating behavior near the sigularity, as similar to a solution in the Einstein-Yang-Mills (EYM) system, independently to stability of the solution. Comparing it with that in the EYM system, this oscillation becomes mild because of the mass term of the Skyrme field.

Topological Born–Infeld-dilaton black holes

“…This form for the Born-Infeld-dilaton term have been investigated previously by a number of authors (see e.g. [4,5,6,7]). In the limit β → ∞, L(F, Φ) reduces to the standard Maxwell field coupled to a dilaton field…”

“…Although one can consistently truncate such models, the presence of the dilaton field cannot be ignored if one considers coupling of the gravity to other gauge fields, and therefore one remains with Einstein-Born-Infeld gravity in the presence of a dilaton field. Many attempts have been done to construct solutions of Einstein-Born-Infeld-dilaton (EBId) gravity [4,5,6,7,8,9,10,11,12]. The appearance of the dilaton field changes the asymptotic behavior of the solutions to be neither asymptotically flat nor (A)dS.…”

Gravitating Lumps

“…Note that the internal structure of hairy black holes with scalar fields is very different then described above for the EYM case: near the singularity the scalar field dominates and the massfunction exhibit a 'power-low inflation' (Gal'tsov, Donets and Zotov (1977), Breitenlohner, Lavrelashvili and Maison (1998)). For the Skyrme case see 22 .…”

Born-Infeld corrections to the entropy function of heterotic black holes

“…Analogs of Reissner-Nordstrom Black hole solutions in Born-Infeld theories coupled to gravity and with general Lovelock type actions and dilaton, are being studied in literature [74]- [77]. However, while working with a complete solution, studying the attractor mechanism requires a different methodology, especially in the presence of higher curvature terms in the action; for instance, see [44,78].…”