Stability under scalar perturbations and quasinormal modes of 4D Einstein–Born–Infeld dilaton spacetime: exact spectrum

Stability under scalar perturbations and quasinormal modes of 4D Einstein–Born–Infeld dilaton spacetime: exact spectrum

Abstract We study the stability under scalar perturbations, and we compute the quasinormal modes of the Einstein–Born–Infeld dilaton spacetime in $$1+3$$ 1+3 dimensions. Solving the full radial equation in terms of hypergeometric functions, we provide an exact analytical expression for the spectrum....

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Main Authors: Kyriakos Destounis, Grigoris Panotopoulos, Ángel Rincón
Format: Article
Language:English
Published: SpringerOpen 2018-02-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-018-5576-8
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spelling doaj-cf44388ccd6e4aa2950ab0711091ec0d2020-11-24T23:57:11ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-02-017821710.1140/epjc/s10052-018-5576-8Stability under scalar perturbations and quasinormal modes of 4D Einstein–Born–Infeld dilaton spacetime: exact spectrumKyriakos Destounis0Grigoris Panotopoulos1Ángel Rincón2Centro Multidisciplinar de Astrofísica, Instituto Superior Técnico, Universidade de LisboaCentro Multidisciplinar de Astrofísica, Instituto Superior Técnico, Universidade de LisboaInstituto de Física, Pontificia Universidad Católica de ChileAbstract We study the stability under scalar perturbations, and we compute the quasinormal modes of the Einstein–Born–Infeld dilaton spacetime in $$1+3$$ 1+3 dimensions. Solving the full radial equation in terms of hypergeometric functions, we provide an exact analytical expression for the spectrum. We find that the frequencies are purely imaginary, and we confirm our results by computing them numerically. Although the scalar field that perturbs the black hole is electrically neutral, an instability similar to that seen in charged scalar perturbations of the Reissner–Nordström black hole is observed.http://link.springer.com/article/10.1140/epjc/s10052-018-5576-8
collection DOAJ
language English
format Article
sources DOAJ
author Kyriakos Destounis
Grigoris Panotopoulos
Ángel Rincón
spellingShingle Kyriakos Destounis
Grigoris Panotopoulos
Ángel Rincón
Stability under scalar perturbations and quasinormal modes of 4D Einstein–Born–Infeld dilaton spacetime: exact spectrum
European Physical Journal C: Particles and Fields
author_facet Kyriakos Destounis
Grigoris Panotopoulos
Ángel Rincón
author_sort Kyriakos Destounis
title Stability under scalar perturbations and quasinormal modes of 4D Einstein–Born–Infeld dilaton spacetime: exact spectrum
title_short Stability under scalar perturbations and quasinormal modes of 4D Einstein–Born–Infeld dilaton spacetime: exact spectrum
title_full Stability under scalar perturbations and quasinormal modes of 4D Einstein–Born–Infeld dilaton spacetime: exact spectrum
title_fullStr Stability under scalar perturbations and quasinormal modes of 4D Einstein–Born–Infeld dilaton spacetime: exact spectrum
title_full_unstemmed Stability under scalar perturbations and quasinormal modes of 4D Einstein–Born–Infeld dilaton spacetime: exact spectrum
title_sort stability under scalar perturbations and quasinormal modes of 4d einstein–born–infeld dilaton spacetime: exact spectrum
publisher SpringerOpen
series European Physical Journal C: Particles and Fields
issn 1434-6044
1434-6052
publishDate 2018-02-01
description Abstract We study the stability under scalar perturbations, and we compute the quasinormal modes of the Einstein–Born–Infeld dilaton spacetime in $$1+3$$ 1+3 dimensions. Solving the full radial equation in terms of hypergeometric functions, we provide an exact analytical expression for the spectrum. We find that the frequencies are purely imaginary, and we confirm our results by computing them numerically. Although the scalar field that perturbs the black hole is electrically neutral, an instability similar to that seen in charged scalar perturbations of the Reissner–Nordström black hole is observed.
url http://link.springer.com/article/10.1140/epjc/s10052-018-5576-8
work_keys_str_mv AT kyriakosdestounis stabilityunderscalarperturbationsandquasinormalmodesof4deinsteinborninfelddilatonspacetimeexactspectrum
AT grigorispanotopoulos stabilityunderscalarperturbationsandquasinormalmodesof4deinsteinborninfelddilatonspacetimeexactspectrum
AT angelrincon stabilityunderscalarperturbationsandquasinormalmodesof4deinsteinborninfelddilatonspacetimeexactspectrum
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