@article{8eefaf55dbb14a859e00018bda411770,
title = "Perturbing microscopic black holes inspired by noncommutativity",
abstract = "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.",
author = "D. Batic and Kelkar, {N. G.} and M. Nowakowski and K. Redway",
note = "Funding Information: The authors would like to thank the anonymous referee for his/her enlightening comments on the manuscript and his/her valuable suggestions. The authors are grateful to R. A. Konoplya for providing the code to evaluate the QNMs using the WKB method. One of the authors (N. G. K.) thanks the Faculty of Science, Universidad de los Andes, Colombia for financial support through grant no. P18.160322.001-17. Funding Information: The authors would like to thank the anonymous referee for his/her enlightening comments on the manuscript and his/her valuable suggestions. The authors are grateful to R. A. Konoplya for providing the code to evaluate the QNMs using the WKB method. One of the authors (N. G. K.) thanks the Faculty of Science, Universidad de los Andes, Colombia for financial support through grant no. P18.160322.001-17. Publisher Copyright: {\textcopyright} 2019, The Author(s).",
year = "2019",
month = jul,
day = "1",
doi = "10.1140/epjc/s10052-019-7084-x",
language = "British English",
volume = "79",
journal = "European Physical Journal C",
issn = "1434-6044",
publisher = "Springer New York",
number = "7",
}