New islands of stability with double-trace deformations

Masachs, Ramon; Way, Benson

doi:10.1103/physrevd.100.106017

Cited by 9 publications

(11 citation statements)

References 58 publications

(45 reference statements)

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“…Because the spectrum of geons typically consists of normal modes, these perturbations generate nonlinear oscillatory solutions, such as those found in [6] for gravitating scalars. More complicated multi-oscillating solutions can be generated out of several combinations JHEP07(2020)206 of normal modes [19,20,56]. These solutions are highly asymmetric, as the helical Killing symmetry is broken in addition to many spatial symmetries.…”

Section: Oscillating Geonsmentioning

confidence: 99%

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Superradiant instability of black resonators and geons

Ishii

Murata

Santos

et al. 2020

J. High Energ. Phys.

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Black resonators and geons in global AdS are rapidly rotating, low-energy solutions with a helical Killing field. We study the linear mode stability of equal angular momenta, five-dimensional black resonators and geons under scalar, electromagnetic, and gravitational perturbations. We find that black resonators are unstable to the superradiant instability, in agreement with previously known results. Perhaps surprisingly, many geons appear linearly stable, despite having an ergoregion. This apparent stability implies that geons are important long-lived, low-energy states in the dual gauge theory. However, we do find that geons are unstable within a certain range of parameter space. We comment on the nature of this instability and to its possible endpoints. We also report on new non-spinning oscillating geons, which we construct within a cohomogeneity two ansatz. Given the existing arguments that suggest our linear stability results may be extended nonlinearly, our findings indicate that most geons are generic and long-lived solutions.

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Section: Oscillating Geonsmentioning

confidence: 99%

“…Small-energy excitations in AdS therefore do not disperse and instead either form a small black hole or reflect off the boundary indefinitely [4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Recent results indicate that both of these scenarios are generic in the space of initial data [7,16,19,20].…”

Section: Introductionmentioning

confidence: 99%

Superradiant instability of black resonators and geons

Ishii

Murata

Santos

et al. 2020

J. High Energ. Phys.

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“…[38,39] (see also [40,41]) 2 . However, the conditions of black formation and the final fate are still not completely clear [36,37]. Since the self-gravitating many-particle system might be regarded as a macroscopic model for the excitations in an asymptotically AdS spacetime, the analysis in our paper might be helpful to guess the final states of asymptotically AdS spacetimes in general dimensions.…”

Section: Introductionmentioning

confidence: 97%

“…Due to the nonlinearity of the field equations, they interact with each other and may form black holes even if the perturbations are arbitrarily small. Despite many works on the turbulent instability [22][23][24][25][26][27][28][29][30][31][32][33][34][35], the final fate has not been clarified yet because the time evolution and final states are dependent on symmetries, dimensions and boundary conditions of the spacetime [36,37]. In addition to the case of matter fields, the stability of the asymptotically AdS Einstein-Vlasov system is also investigated in Ref.…”

Section: Introductionmentioning

confidence: 99%

Gravothermal catastrophe and critical dimension in a $D$-dimensional asymptotically AdS spacetime

Asami¹,

Yoo²

2022

Preprint

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We investigate the structure and stability of the thermal equilibrium states of a spherically symmetric self-gravitating system in a D-dimensional asymptotically Anti-de Sitter(AdS) spacetime. The system satisfies the Einstein-Vlasov equations with a negative cosmological constant. Due to the confined structure of the AdS potential, we can construct thermal equilibrium states without any artificial wall in the asymptotically AdS spacetime. Accordingly, the AdS radius can be regarded as the typical size of the system. Then the system can be characterized by the gravothermal energy and AdS radius normalized by the total particle number. We investigate the catastrophic instability of the system in a D-dimensional spacetime by using the turning point method. As a result, we find that the curve has a double spiral structure for 4 ≤ D ≤ 10 while it does not have any spiral structures for D ≥ 11 as in the asymptotically flat case confined by an adiabatic wall. Irrespective of the existence of the spiral structure, there exist upper and lower bounds for the value of the gravothermal energy. This fact indicates that there is no thermal equilibrium solution outside the allowed region of the gravothermal energy. This property is also similar to the asymptotically flat case.

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“…Because of the confined structure and the nonlinearity of the field equations, arbitrarily small perturbations may form black holes in an asymptotically AdS spacetime. While it was proven that arbitrarily small data that form black holes exist for the spherically symmetric Einstein-massless Vlasov system [23,24], the final states may depend on the symmetry of the spacetime and initial conditions of perturbations [25][26][27][28][29][30][31][32][33][34][35], and the final fate has not been well understood yet [36,37]. The self-gravitating particle system considered in this paper might provide a macroscopic model of excitations in the asymptotic AdS spacetime, and those thermodynamical stability might be useful to guess the final fate of the AdS instability.…”

Section: Introductionmentioning

confidence: 99%

Thermal equilibrium states and instability of self-gravitating particles in an asymptotically AdS spacetime

Asami,

Yoo

2021

Preprint

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We investigate the existence and the stability of spherically symmetric thermal equilibrium states of the self-gravitating many-particle system which satisfies the Einstein-Vlasov equations with a negative cosmological constant. While a thermal equilibrium state of the self-gravitating particle system cannot have a finite mass without an artificial wall in the asymptotically flat case, in the asymptotically AdS case, the total mass can be finite without any artificial wall due to the AdS potential barrier. In this case, the typical size of the system is characterized by the AdS radius. The equilibrium states can be parametrized by two independent parameters. Taking the total rest mass as the unit and fixing the AdS radius, we obtain the one-parameter family of equilibria which describes a curve in the parameter space spanned by the gravothermal energy and the temperature. Then we investigate the instability of the system based on the turning point method for each value of the AdS radius. We find that the curve typically has a double spiral structure as in the asymptotically flat case with an artificial wall. The possible value of the gravothermal energy is restricted to the finite region between the first turning points on the two respective spirals.

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New islands of stability with double-trace deformations

Cited by 9 publications

References 58 publications

Superradiant instability of black resonators and geons

Superradiant instability of black resonators and geons

Gravothermal catastrophe and critical dimension in a $D$-dimensional asymptotically AdS spacetime

Thermal equilibrium states and instability of self-gravitating particles in an asymptotically AdS spacetime

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