Ringing of the Regular Black Hole with Asymptotically Minkowski Core

A Regge–Wheeler analysis is performed for a novel black hole mimicker ‘the regular black hole with asymptotically Minkowski core’, followed by an approximation of the permitted quasi-normal modes for propagating waveforms. A first-order WKB approximation is computed for spin zero and spin one pertur...

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Autor principal: Alexander Marcus Simpson
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Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:69a848a727024d4fa90bbf2c2ab2e19e2021-11-25T19:09:36ZRinging of the Regular Black Hole with Asymptotically Minkowski Core10.3390/universe71104182218-1997https://doaj.org/article/69a848a727024d4fa90bbf2c2ab2e19e2021-11-01T00:00:00Zhttps://www.mdpi.com/2218-1997/7/11/418https://doaj.org/toc/2218-1997A Regge–Wheeler analysis is performed for a novel black hole mimicker ‘the regular black hole with asymptotically Minkowski core’, followed by an approximation of the permitted quasi-normal modes for propagating waveforms. A first-order WKB approximation is computed for spin zero and spin one perturbations of the candidate spacetime. Subsequently, numerical results analysing the respective fundamental modes are compiled for various values of the <i>a</i> parameter (which quantifies the distortion from Schwarzschild spacetime), and for various multipole numbers <i>ℓ</i>. Both electromagnetic spin one fluctuations and scalar spin zero fluctuations on the background spacetime are found to possess shorter-lived, higher-energy signals than their Schwarzschild counterparts for a specific range of interesting values of the <i>a</i> parameter. Comparison between these results and some analogous results for both the Bardeen and Hayward regular black holes is considered. Analysis as to what happens when one permits perturbations of the Regge–Wheeler potential itself is then conducted, first in full generality, before specialising to Schwarzschild spacetime. A general result is presented explicating the shift in quasi-normal modes under perturbation of the Regge–Wheeler potential.Alexander Marcus SimpsonMDPI AGarticleregular black holeMinkowski coreLambert W functionblack hole mimicRegge–Wheeler potentialquasi-normal modesElementary particle physicsQC793-793.5ENUniverse, Vol 7, Iss 418, p 418 (2021)
institution DOAJ
collection DOAJ
language EN
topic regular black hole
Minkowski core
Lambert W function
black hole mimic
Regge–Wheeler potential
quasi-normal modes
Elementary particle physics
QC793-793.5
spellingShingle regular black hole
Minkowski core
Lambert W function
black hole mimic
Regge–Wheeler potential
quasi-normal modes
Elementary particle physics
QC793-793.5
Alexander Marcus Simpson
Ringing of the Regular Black Hole with Asymptotically Minkowski Core
description A Regge–Wheeler analysis is performed for a novel black hole mimicker ‘the regular black hole with asymptotically Minkowski core’, followed by an approximation of the permitted quasi-normal modes for propagating waveforms. A first-order WKB approximation is computed for spin zero and spin one perturbations of the candidate spacetime. Subsequently, numerical results analysing the respective fundamental modes are compiled for various values of the <i>a</i> parameter (which quantifies the distortion from Schwarzschild spacetime), and for various multipole numbers <i>ℓ</i>. Both electromagnetic spin one fluctuations and scalar spin zero fluctuations on the background spacetime are found to possess shorter-lived, higher-energy signals than their Schwarzschild counterparts for a specific range of interesting values of the <i>a</i> parameter. Comparison between these results and some analogous results for both the Bardeen and Hayward regular black holes is considered. Analysis as to what happens when one permits perturbations of the Regge–Wheeler potential itself is then conducted, first in full generality, before specialising to Schwarzschild spacetime. A general result is presented explicating the shift in quasi-normal modes under perturbation of the Regge–Wheeler potential.
format article
author Alexander Marcus Simpson
author_facet Alexander Marcus Simpson
author_sort Alexander Marcus Simpson
title Ringing of the Regular Black Hole with Asymptotically Minkowski Core
title_short Ringing of the Regular Black Hole with Asymptotically Minkowski Core
title_full Ringing of the Regular Black Hole with Asymptotically Minkowski Core
title_fullStr Ringing of the Regular Black Hole with Asymptotically Minkowski Core
title_full_unstemmed Ringing of the Regular Black Hole with Asymptotically Minkowski Core
title_sort ringing of the regular black hole with asymptotically minkowski core
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/69a848a727024d4fa90bbf2c2ab2e19e
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