Gravitational geons in asymptotically anti-de Sitter spacetimes

Abstract

We report on numerical constructions of fully non-linear geons in asymptotically anti-de Sitter (AdS) spacetimes in four dimensions. Our approach is based on 3+1 formalism and spectral methods in a gauge combining maximal slicing and spatial harmonic coordinates. We are able to construct several families of geons seeded by different families of spherical harmonics. We can reach unprecedentedly high amplitudes, with mass of order $\sim 1/2$ of the AdS length, and with deviations of the order of 50\% compared to third order perturbative approaches. The consistency of our results with numerical resolution is carefully checked and we give extensive precision monitoring techniques. All global quantities like mass and angular momentum are computed using two independent frameworks that agree each other at the $0.1\%$ level. We also provide strong evidence for the existence of excited (i.e. with one radial node) geon solutions of Einstein equations in asymptotically AdS spacetimes by constructing them numerically.

34 pages, 9 figures, 5 tables, corrections were not taken into account in v2, now really matches accepted version to CQG

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Cited by in corpus (23)

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• Resonant Hamiltonian systems and weakly nonlinear dynamics in AdS spacetimes
• Higher order perturbations of Anti-de Sitter space and time-periodic solutions of vacuum Einstein equations
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• Black resonators and geons in AdS${}_5$
• Non-Spherically Symmetric Collapse in Asymptotically AdS Spacetimes
• Anti-de Sitter geon families
• Maximally rotating waves in AdS and on spheres
• Multioscillating black holes
• Massive Graviton Geons
• Charting the AdS Islands of Stability with Multi-oscillators?
• Superradiant instability of black resonators and geons
• AdS nonlinear instability: breaking spherical and axial symmetries
• A review on radiation of oscillons and oscillatons
• Gregory-Laflamme and Superradiance encounter Black Resonator Strings
• Photonic black resonators and photon stars in AdS${}_5$
• Breathing modes, quartic nonlinearities and effective resonant systems
• New islands of stability with double-trace deformations
• AdS instability: resonant system for gravitational perturbations of AdS${}_5$ in the cohomogeneity-two biaxial Bianchi IX ansatz
• Boundary conditions for stationary black holes ; Application to Kerr, Martinez-Troncoso-Zanelli and hairy black holes
• Gravitational systems in asymptotically anti-de Sitter space-times
• Gravitational Perturbations in a cavity: Nonlinearities
• Nonlinear perturbations of higher dimensional anti-de Sitter spacetime