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Time-Periodic Solutions in an Einstein AdS Massless Scalar Field System

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Mathematics and Physics of the Holographic Principle

Co-author: Maciej Maliborski (Jagiellonian University)

I will argue for the existence of stable, asymptotically anti- de Sitter (AdS), time-periodic solutions of Einstein equations. In particular, I will discuss the time-periodic solutions, recently discovered in Einstein AdS—massless scalar field system, in d+1 spacetime dimensions at spherical symmetry (a joint work with Maciej Maliborski, Phys.Rev.Lett.111 051102). I will give two independent methods of construction of time-periodic solutions in this model, and argue that these solutions are stable (opposite to AdS solution itself).

This talk is part of the Isaac Newton Institute Seminar Series series.

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