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A detailed perturbative construction of globally regular, asymptotically anti-de Sitter (AdS) time-periodic solutions of Einstein's equations with a negative cosmological constant (AdS geons) is presented.
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Maciej Maliborski and Andrzej Rostworowski, “Time-periodic solutions in an Einstein AdS-massless-scalar-field system,” Phys. Rev. Lett. 111
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Piotr Bizoń, “Is ads stable?” General Relativity and Gravitation 46
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Nakwoo Kim, “Time-periodic solutions of massive scalar fields in dynamical AdS background: Perturbative constructions,” Physics Letters B 742
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Ben Craps and Oleg Evnin, “Ads (in)stability: an analytic approach,” Fortschritte der Physik 64
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Gyula Fodor, Péter Forgács, and Philippe Grandclément, “Scalar field breathers on anti-de Sitter background,” Phys. Rev. D 89
2014
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Ben Craps, Oleg Evnin, and Joris Vanhoof, “Renormalization group, secular term resummation and ads (in)stability,” Journal of High Energy Physics 2014
2014
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Stephen R. Green, Antoine Maillard, Luis Lehner, and Steven L. Liebling, “Islands of stability and recurrence times in AdS,” Phys. Rev. D 92
2015
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Nils Deppe and Andrew R. Frey, “Classes of stable initial data for massless and massive scalars in Anti-de Sitter spacetime,” Journal of High Energy Physics 2015
2015
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Fotios Dimitrakopoulos and I-Sheng Yang, “Conditionally extended validity of perturbation theory: Persistence of AdS stability islands,” Phys. Rev. D 92
2015
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Ben Craps, Oleg Evnin, Puttarak Jai-akson, and Joris Vanhoof, “Ultraviolet asymptotics for quasiperiodic AdS4 perturbations,” Journal of High Energy Physics 2015
2015
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Gyula Fodor, Péter Forgács, and Philippe Grandclément, “Self-gravitating scalar breathers with a negative cosmological constant,” Phys. Rev. D 92
2015
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Óscar J C Dias and Jorge E Santos, “AdS nonlinear instability: moving beyond spherical symmetry,” Classical and Quantum Gravity 33
2016
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Andrzej Rostworowski, “Comment on ‘AdS nonlinear instability: moving beyond spherical symmetry’ (2016 class. quantum grav . 33 23lt01 ),” Classical and Quantum Gravity 34
2016
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Grégoire Martinon, Gyula Fodor, Philippe Grandclément, and Peter Forgács, “Gravitational geons in asymptotically anti-de Sitter spacetimes,” Classical and Quantum Gravity 34
2017
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2017
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