Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole

We investigate the quasinormal modes (QNMs) of the scalar field coupled to the Einstein's tensor in the non-commutative geometry inspired black hole spacetime. It is found that the lapse function of the non-commutative black hole metric can be represented by a Kummer's confluent hypergeome...

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Autores principales:	Zening Yan, Chen Wu, Wenjun Guo
Formato:	article
Lenguaje:	EN
Publicado:	Elsevier 2021
Materias:	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
Acceso en línea:	https://doaj.org/article/8d8f9bd7eec6461a8dbaa3e8d69b58eb
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spelling	oai:doaj.org-article:8d8f9bd7eec6461a8dbaa3e8d69b58eb2021-12-04T04:32:54ZQuasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole0550-321310.1016/j.nuclphysb.2021.115595https://doaj.org/article/8d8f9bd7eec6461a8dbaa3e8d69b58eb2021-12-01T00:00:00Zhttp://www.sciencedirect.com/science/article/pii/S0550321321002923https://doaj.org/toc/0550-3213We investigate the quasinormal modes (QNMs) of the scalar field coupled to the Einstein's tensor in the non-commutative geometry inspired black hole spacetime. It is found that the lapse function of the non-commutative black hole metric can be represented by a Kummer's confluent hypergeometric function, which can effectively solve the problem that the numerical results of the QNMs are sensitive to the model parameters and make the QNMs values more reliable. We make a careful analysis of the scalar QNM frequencies by using several numerical methods, and find that the numerical results obtained by the new WKB method (the Padé approximants) and the Mashhoon method (Pöschl-Teller potential method) are quite different from those obtained by the asymptotic iterative method (AIM) and time-domain integration method when the non-commutative parameter θ and coupling parameter η are large. The most obvious difference is that the numerical results obtained by the AIM and the time-domain integration method appear a critical value ηc with an increase of η, which leads to the dynamical instability. After carefully analyzing the numeral results, we conclude that the numerical results obtained by the AIM and the time-domain integration method are closer to the theoretical values than those obtained by the WKB method and the Mashhoon method, when the θ and η are large. Moreover, through a numerical fitting, we obtain that the functional relationship between the threshold ηc and the non-commutative parameter θ satisfies ηc=aθb+c for a fixed l approximately. We find that the stability of dynamics can be ensured in the η<ηc(θ,l) region.Zening YanChen WuWenjun GuoElsevierarticleNuclear and particle physics. Atomic energy. RadioactivityQC770-798ENNuclear Physics B, Vol 973, Iss , Pp 115595- (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798
spellingShingle	Nuclear and particle physics. Atomic energy. Radioactivity QC770-798 Zening Yan Chen Wu Wenjun Guo Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole
description	We investigate the quasinormal modes (QNMs) of the scalar field coupled to the Einstein's tensor in the non-commutative geometry inspired black hole spacetime. It is found that the lapse function of the non-commutative black hole metric can be represented by a Kummer's confluent hypergeometric function, which can effectively solve the problem that the numerical results of the QNMs are sensitive to the model parameters and make the QNMs values more reliable. We make a careful analysis of the scalar QNM frequencies by using several numerical methods, and find that the numerical results obtained by the new WKB method (the Padé approximants) and the Mashhoon method (Pöschl-Teller potential method) are quite different from those obtained by the asymptotic iterative method (AIM) and time-domain integration method when the non-commutative parameter θ and coupling parameter η are large. The most obvious difference is that the numerical results obtained by the AIM and the time-domain integration method appear a critical value ηc with an increase of η, which leads to the dynamical instability. After carefully analyzing the numeral results, we conclude that the numerical results obtained by the AIM and the time-domain integration method are closer to the theoretical values than those obtained by the WKB method and the Mashhoon method, when the θ and η are large. Moreover, through a numerical fitting, we obtain that the functional relationship between the threshold ηc and the non-commutative parameter θ satisfies ηc=aθb+c for a fixed l approximately. We find that the stability of dynamics can be ensured in the η<ηc(θ,l) region.
format	article
author	Zening Yan Chen Wu Wenjun Guo
author_facet	Zening Yan Chen Wu Wenjun Guo
author_sort	Zening Yan
title	Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole
title_short	Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole
title_full	Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole
title_fullStr	Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole
title_full_unstemmed	Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole
title_sort	quasinormal modes of scalar field coupled to einstein's tensor in the non-commutative geometry inspired black hole
publisher	Elsevier
publishDate	2021
url	https://doaj.org/article/8d8f9bd7eec6461a8dbaa3e8d69b58eb
work_keys_str_mv	AT zeningyan quasinormalmodesofscalarfieldcoupledtoeinsteinstensorinthenoncommutativegeometryinspiredblackhole AT chenwu quasinormalmodesofscalarfieldcoupledtoeinsteinstensorinthenoncommutativegeometryinspiredblackhole AT wenjunguo quasinormalmodesofscalarfieldcoupledtoeinsteinstensorinthenoncommutativegeometryinspiredblackhole
_version_	1718373042997952512

Quasinormal modes of scalar field coupled to Einstein's tensor in the non-commutative geometry inspired black hole

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