Black resonators and geons in AdS 5 Takaaki Ishii Kyoto University - PowerPoint PPT Presentation

Black resonators and geons in AdS 5 Takaaki Ishii Kyoto University CQG36(2019)125011 arXiv:1810.11089 [hep-th] and work in progress with Keiju Murata, Jorge Santos, Benson Way 19 Aug 2019, Strings and Fields 2019 @YITP

Introduction

Motivations Gravity in higher dimensions and AdS spacetime Non-uniqueness and various black holes Instabilities and dynamics of such black holes

Superradiance a m p l i fi e d Rotational superradiance: Waves can be amplified by a rotating BH. (cf. charged superradiance by a charged BH)

Superradiant instability superradiance superradiance In AdS, superradiance repeats, and the growth of the wave gives rise to an instability. [Kunduri-Lucietti-Reall]

New solution with a helical Killing vector l a c i l e h superradiance time superradiance rotation New solutions with less isometries will bifurcate from the onset of the instability. [Kunduri-Lucietti-Reall]

Black resonators Black holes with a single Killing vector field: black resonators Oscar J. C. Dias, 1, ∗ Jorge E. Santos, 2, † and Benson Way 2, ‡ ´ 1 STAG research centre and Mathematical Sciences, University of Southampton, UK 2 DAMTP, Centre for Mathematical Sciences, University of Cambridge, Wilberforce Road, Cambridge CB3 0WA, UK We numerically construct asymptotically anti-de Sitter (AdS) black holes in four dimensions that contain only a single Killing vector field. These solutions, which we coin black resonators , link arXiv:1505.04793 [hep-th] Time-periodic black holes were constructed in AdS 4 and named black resonators .

This talk The first black resonators were obtained by solving PDEs in 4D AdS. [Dias-Santos-Way] " � y 2 q 1 ∆ ( y ) (d ⌧ + y q 6 d y ) 2 + 4 y 2 + q 2 d y 2 + 4 y 2 L 2 + q 3 ⌘ 2 d s 2 = ⇣ p 2 � x 2 q 7 d y + y 2 x p 2 � x 2 q 8 d ⌧ d x + yx (1 � y 2 ) 2 2 � x 2 ∆ ( y ) p ! 2 # 2 � x 2 q 9 d x d � � y 2 q 5 d ⌧ + x + (1 � x 2 ) 2 y 2 + q 4 + y q 10 d y , (6) 1 � x 2 In 5D, we can write a simple metric and obtain a class of black resonators by solving ODEs. [TI-Murata]

Geons This term was coined by Wheeler as "gravitational and electromagnetic entities." Geons are self-gravitating horizonless geometries. In the limit of zero horizon size, black resonators smoothly reduce to geons.

Contents 1. Introduction 2. Myers-Perry AdS BH with equal angular momenta 3. Superradiant instability 4. Black resonators and geons 5. Conclusion

Myers-Perry AdS BH with equal angular momenta

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Superradiant instability

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