Advances in Theoretical and Mathematical Physics

Volume 26 (2022)

Number 8

Static black holes of higher dimensional Einstein–Skyrme system with general couplings

Pages: 2667 – 2695

DOI: https://dx.doi.org/10.4310/ATMP.2022.v26.n8.a7

Authors

Bobby Eka Gunara (Theoretical High Energy Physics Research Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi, Bandung, Indonesia)

Emir Syahreza Fadhilla (Theoretical High Energy Physics Research Division, Faculty of Mathematics and Natural Sciences, Institut Teknologi, Bandung, Indonesia; and Research Center for Quantum Physics, National Research and Innovation Agency (BRIN), Tangerang, Indonesia)

Ardian Nata Atmaja (Research Center for Quantum Physics, National Research and Innovation Agency (BRIN), Tangerang, Indonesia)

Abstract

We construct hairy static black holes of higher dimensional general coupling Einstein–Skyrme theories with the scalar potential turned on and the cosmological constant is non-positive in which the scalar multiplets satisfy $\mathcal{O}(d+1)$ model constraint where $d$ is the spatial dimension of the spacetime and $d \geq 3$. Some physical properties of solutions near the boundaries, namely, near the (event) horizon and in the asymptotic region are discussed. Then, we prove that these black hole solutions exist globally which may have finite energy for non-positive cosmological constant. Finally, we use perturbative method to perform a linear dynamical stability analysis and then, show the existence of stable and unstable solutions in the model.

Published 5 January 2024