https://doi.org/10.1140/epjc/s10052-019-7084-x
Regular Article - Theoretical Physics
Perturbing microscopic black holes inspired by noncommutativity
1
Department of Mathematics, Khalifa University of Science and Technology, Main Campus, Abu Dhabi, United Arab Emirates
2
Departamento de Fisica, Universidad de los Andes, Cra. 1E No. 18A-10, Bogota, Colombia
3
Departament of Physics, University of the West Indies, Mona Campus, Kingston, Jamaica
* e-mail: davide.batic@ku.ac.ae
Received:
16
January
2019
Accepted:
30
June
2019
Published online:
11
July
2019
We probe into the instabilities of microscopic quantum black holes. For this purpose, we study the quasinormal modes (QNMs) for a massless scalar perturbation of the noncommutative geometry inspired Schwarzschild black hole. By means of a sixth order Wentzel–Kramers–Brillouin (WKB) approximation we show that the widely used WKB method does not converge in the critical cases where instabilities show up at the third order. By employing the inverted potential method, we demonstrate that the instabilities are an artifact of the WKB method. Finally, we discuss the usefulness of the asymptotic iteration method to find the QNMs.
© The Author(s), 2019
