Globally regular instability of 3-dimensional anti-de Sitter spacetime

2013
journal article
article
dc.abstract.enWe consider three-dimensional anti–de Sitter (AdS) gravity minimally coupled to a massless scalar field and study numerically the evolution of small smooth circularly symmetric perturbations of the AdS_{3} spacetime. As in higher dimensions, for a large class of perturbations, we observe a turbulent cascade of energy to high frequencies which entails instability of AdS_{3}. However, in contrast to higher dimensions, the cascade cannot be terminated by black hole formation because small perturbations have energy below the black hole threshold. This situation appears to be challenging for the cosmic censor. Analyzing the energy spectrum of the cascade we determine the width p(t) of the analyticity strip of solutions in the complex spatial plane and argue by extrapolation that p(t) does not vanish in finite time. This provides evidence that the turbulence is too weak to produce a naked singularity and the solutions remain globally regular in time, in accordance with the cosmic censorship hypothesis.pl
dc.affiliationWydział Fizyki, Astronomii i Informatyki Stosowanej : Instytut Fizyki im. Mariana Smoluchowskiegopl
dc.contributor.authorBizoń, Piotr - 127350 pl
dc.contributor.authorJałmużna, Joanna - 107163 pl
dc.date.accessioned2015-06-10T18:16:49Z
dc.date.available2015-06-10T18:16:49Z
dc.date.issued2013pl
dc.description.number4pl
dc.description.volume111pl
dc.identifier.articleid041102pl
dc.identifier.doi10.1103/PhysRevLett.111.041102pl
dc.identifier.eissn1079-7114pl
dc.identifier.eissn1092-0145pl
dc.identifier.issn0031-9007pl
dc.identifier.urihttp://ruj.uj.edu.pl/xmlui/handle/item/9295
dc.languageengpl
dc.language.containerengpl
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dc.subtypeArticlepl
dc.titleGlobally regular instability of 3-dimensional anti-de Sitter spacetimepl
dc.title.journalPhysical Review Letterspl
dc.typeJournalArticlepl
dspace.entity.typePublication

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