Study of the nonlinear instability of confined geometries

Okawa, Hirotada; Cardoso, Vítor; Pani, Paolo

doi:10.1103/physrevd.90.104032

Cited by 38 publications

(82 citation statements)

References 19 publications

(96 reference statements)

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“…Below threshold for direct collapse, a singularity is reached after a number of oscillations. We refer to these as "delayed collapses" following the nomenclature from the GR context [34]. We see a stepwise structure of delayed collapses.…”

Section: Introductionmentioning

confidence: 99%

Delayed collapses of Bose-Einstein condensates in relation to anti-de Sitter gravity

Biasi¹,

Mas²,

Paredes³

2017

Phys. Rev. E

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We numerically investigate spherically symmetric collapses in the Gross-Pitaevskii equation with attractive nonlinearity in a harmonic potential. Even below threshold for direct collapse, the wave function bounces off from the origin and may eventually become singular after a number of oscillations in the trapping potential. This is reminiscent of the evolution of Einstein gravity sourced by a scalar field in Anti-de Sitter space where collapse corresponds to black hole formation. We carefully examine the long time evolution of the wave function for continuous families of initial states in order to sharpen out this qualitative coincidence which may bring new insights in both directions. On one hand, we comment on possible implications for the so-called Bosenova collapses in cold atom Bose-Einstein condensates. On the other hand, Gross-Pitaevskii provides a toy model to study the relevance of either the resonance conditions or the nonlinearity for the problem of Anti-de Sitter instability.

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Section: Introductionmentioning

confidence: 99%

Delayed collapses of Bose-Einstein condensates in relation to anti-de Sitter gravity

Biasi¹,

Mas²,

Paredes³

2017

Phys. Rev. E

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“…Only recently, however, did one start to understand the onset of the rich dynamics allowed for when the fields are constrained to a finite spatial extent [11][12][13][14][15][16][17][18]. Some classes of initial data seem to always collapse to BHs irrespective of their amplitude, although BH formation may take arbitrarily large times to occur; other types of initial data form nonlinearly stable, regular but oscillating configurations.…”

Section: Introductionmentioning

confidence: 99%

Collapsing shells, critical phenomena, and black hole formation

Cardoso

Rocha

2016

Phys. Rev. D

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We study the gravitational collapse of two thin shells of matter, in asymptotically flat spacetime or constrained to move within a spherical box. We show that this simple two-body system has surprisingly rich dynamics, which includes prompt collapse to a black hole, perpetually oscillating solutions or black hole formation at arbitrarily large times. Collapse is induced by shell crossing and the black hole mass depends sensitively on the number of shell crossings. At certain critical points, the black hole mass exhibits critical behavior, determined by the change in parity (even or odd) of the number of crossings, with or without mass-gap during the transition. Some of the features we observe are reminiscent of confined scalars undergoing "turbulent" dynamics.

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“…In an elegant work, Maliborski [24] (see also [25,26]) has recently confirmed this physically motivated expectation. In particular, the recent numerical study by Okawa et al [25] provides compelling evidence that spherically symmetric confined scalar fields generically collapse to form caged black holes.…”

Section: Introductionmentioning

confidence: 62%

Resonance spectra of caged black holes

Hod

2014

Eur. Phys. J. C

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Recent numerical studies of the coupled EinsteinKlein-Gordon system in a cavity have provided compelling evidence that confined scalar fields generically collapse to form black holes. Motivated by this intriguing discovery, we here use analytical tools in order to study the characteristic resonance spectra of the confined fields. These discrete resonant frequencies are expected to dominate the late-time dynamics of the coupled black-hole-field-cage system. We consider caged Reissner-Nordström black holes whose confining mirrors are placed in the near-horizon region x m ≡ (r m − r + )/r + τ ≡ (r + − r − )/r + (here r m is the radius of the confining mirror and r ± are the radii of the black-hole horizons). We obtain a simple analytical expression for the fundamental quasinormal resonances of the coupled blackhole-field-cage system: ω n = −i2π T BH ·n 1 + O(x n m /τ n ) , where T BH is the temperature of the caged black hole and n = 1, 2, 3, ... is the resonance parameter.

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Study of the nonlinear instability of confined geometries

Cited by 38 publications

References 19 publications

Delayed collapses of Bose-Einstein condensates in relation to anti-de Sitter gravity

Delayed collapses of Bose-Einstein condensates in relation to anti-de Sitter gravity

Collapsing shells, critical phenomena, and black hole formation

Resonance spectra of caged black holes

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