Evading no-hair theorems: Hairy black holes in a Minkowski box

Dias, Óscar J. C.; Masachs, Ramon

doi:10.1103/physrevd.97.124030

Cited by 27 publications

(101 citation statements)

References 47 publications

(191 reference statements)

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“…Yet, it does yield the correct leading order thermodynamics of the charged hairy black hole. This will be explicitly confirmed in our companion manuscript [48] where we find the charged hairy black holes solving explicitly the equations of motion. To be clear, these are regular asymptotically flat black hole solutions of the Einstein-Maxwell theory with a scalar field confined in a reflecting box.…”

Section: Introductionsupporting

confidence: 66%

“…It is too simple for that; yet it yields the correct leading thermodynamics. In the aforementioned companion publication [48], we will emphasize the importance of using the Brown-York quasilocal formalism [65] to appropriately discuss hairy black holes contained inside a box. For the difference between the Brown-York tensor outside and inside the box surface layer yields precisely the Lanczos-Darmois-Israel surface stress tensor [61][62][63][64] that describes the energy-momentum content of the box [65].…”

Section: Non-interacting Thermodynamic Model For Hairy Black Holesmentioning

confidence: 99%

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Charged black hole bombs in a Minkowski cavity

Dias

Masachs

2018

Class. Quantum Grav.

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Press and Teukolsky famously introduced the concept of a black hole bomb system: a scalar field scattering a Kerr black hole confined inside a mirror undergoes superradiant amplification that keeps repeating due to the reflecting boundary conditions at the mirror. A similar charged black hole bomb system exists if we have a charged scalar field propagating in a Reissner-Nordström black hole confined inside a box. We point out that scalar fields propagating in such a background are unstable not only to superradiance but also to a mechanism known as the near-horizon scalar condensation instability. The two instabilities are typically entangled but we identify regimes in the phase space where one of them is suppressed but the other is present, and vice-versa (we do this explicitly for the charged but non-rotating black hole bomb). These 'corners' in the phase space, together with a numerical study of the instabilities allow us to identify accurately the onset of the instabilities. Our results should thus be useful to make educated choices of initial data for the Cauchy problem that follows the time evolution and endpoint of the instabilities. Finally, we use a simple thermodynamic model (that makes no use of the equations of motion) to find the leading order thermodynamic properties of hairy black holes and solitons that should exist as a consequence (and that should be the endpoint) of these instabilities. In a companion publication, we explicitly solve the Einstein-Maxwell-scalar equations of motion to find the properties of these hairy solutions at higher order in perturbation theory. * Electronic address: ojcd1r13@soton.ac.uk † Electronic address: rmg1e15@soton.ac.uk

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Section: Introductionsupporting

confidence: 66%

Section: Non-interacting Thermodynamic Model For Hairy Black Holesmentioning

confidence: 99%

Charged black hole bombs in a Minkowski cavity

Dias

Masachs

2018

Class. Quantum Grav.

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“…17 The hairy solutions were also modeled as a non interacting mix of the small RNAdS black hole and the supersymmetric (µ = 1, M = 3Q) soliton, and the leading order thermodynamics of the matched expansion were reproduced. Such approach has also been succesfully employed in a similar context by [32,33,[103][104][105].…”

Section: A the Non-interacting Thermodynamic Modelmentioning

confidence: 99%

Rotating hairy black holes in AdS5 × S5

Markeviciute

2019

J. High Energ. Phys.

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We present a numerical study of fully non-linear, rotating and charged hairy black hole solutions in five-dimensional anti-de Sitter space, which originate from a consistent truncation of N = 8 supergravity, and can be consistently embedded in type IIB supergravity with AdS 5 ×S 5 asymptotics. The hairy black holes have one scalar field charged under a U(1) gauge field, and branch from the near-extremal Cvetič, Lü and Pope solutions. We give numerical evidence that the hairy solutions exist arbitrarily close to the BPS bound for all charges, and saturate it in the T → 0 and T → ∞ limits. We give further evidence for the conjecture of Markevičiūtė and Santos, that on the BPS bound, the rotating hairy black holes form a two-parameter family of solutions with finite entropy, and can be regarded as a one-parameter extension of the supersymmetric Gutowski and Reall black hole. We analyse the approach to the supersymmetric limit and explore the full phase diagram. In the planar horizon limit we find a two parameter family of rotating hairy black brane solutions which cannot be obtained via a Lorentz boost. The field theory dual exhibits a spontaneously generated current. The results of this paper suggest rich and intricate structure of hairy black hole solutions in AdS 5 ×S 5 , and highlight their importance in understanding the thermodynamics of N = 4 SYM.

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“…Including charged scalars, boson stars and hairy black holes in a cavity were considered in [21][22][23][24], which showed that the phase structure of the gravity system in a cavity is strikingly similar to that of holographic superconductors in the AdS gravity. The stabilities of solitons, stars and black holes in a cavity were also studied in [25][26][27][28][29][30][31][32]. It was found that the nonlinear dynamical evolution of a charged black hole in a cavity could end in a quasi-local hairy black hole.…”

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confidence: 99%

Thermodynamics and phase transition of a nonlinear electrodynamics black hole in a cavity

Wang

Yang

2019

J. High Energ. Phys.

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We discuss the thermodynamics of a general nonlinear electrodynamics (NLED) asymptotically flat black hole enclosed in a finite spherical cavity. A canonical ensemble is considered, which means that the temperature and the charge on the wall of the cavity are fixed. After the free energy is obtained by computing the Euclidean action, it shows that the first law of thermodynamics is satisfied at the locally stationary points of the free energy. Focusing on a Born-Infeld (BI) black hole in a cavity, the phase structure and transition in various regions of the parameter space are investigated. In the region where the BI electrodynamics has weak nonlinearities, Hawking-Pagelike and van der Waals-like phase transitions occur, and a tricritical point appears. In the region where the BI electrodynamics has strong enough nonlinearities, only Hawking-Page-like phase transitions occur. The phase diagram of the BI black hole in a cavity can have dissimilarity from that of a BI black hole using asymptotically anti-de Sitter boundary conditions. The dissimilarity may stem from a lack of an appropriate reference state with the same charge and temperature for the BI-AdS black hole.

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Evading no-hair theorems: Hairy black holes in a Minkowski box

Cited by 27 publications

References 47 publications

Charged black hole bombs in a Minkowski cavity

Charged black hole bombs in a Minkowski cavity

Rotating hairy black holes in AdS5 × S5

Thermodynamics and phase transition of a nonlinear electrodynamics black hole in a cavity

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