Perturbing microscopic black holes inspired by noncommutativity

D. Batic; N. G. Kelkar; M. Nowakowski; K. Redway

doi:10.1140/epjc/s10052-019-7084-x

Perturbing microscopic black holes inspired by noncommutativity

D. Batic
, N. G. Kelkar
, M. Nowakowski
, K. Redway

Mathematics

Research output: Contribution to journal › Article › peer-review

14 Scopus citations

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.

Original language	British English
Article number	581
Journal	European Physical Journal C
Volume	79
Issue number	7
DOIs	https://doi.org/10.1140/epjc/s10052-019-7084-x
State	Published - 1 Jul 2019

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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).",

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doi = "10.1140/epjc/s10052-019-7084-x",

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AU - Batic, D.

AU - Kelkar, N. G.

AU - Nowakowski, M.

AU - Redway, K.

N1 - 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: © 2019, The Author(s).

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N2 - 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.

AB - 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.

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ER -

Perturbing microscopic black holes inspired by noncommutativity

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