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High Energy Physics - Theory

arXiv:1602.03535 (hep-th)
[Submitted on 10 Feb 2016 (v1), last revised 23 Jul 2016 (this version, v3)]

Title:Two worlds collide: Interacting shells in AdS spacetime and chaos

Authors:Richard Brito, Vitor Cardoso, Jorge V. Rocha
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Abstract:We study the simplest two-body problem in asymptotically anti-de Sitter spacetime: two, infinitely thin, concentric spherical shells of matter. We include only gravitational interaction between the two shells, but we show that the dynamics of this system is highly nontrivial. We observe prompt collapse to a black hole, delayed collapse and even perpetual oscillatory motion, depending on the initial location of the shells (or their energy content). The system exhibits critical behavior, and we show strong hints that it is also chaotic.
Comments: 8 pages, 7 figures; v2: updated references and added short discussion on the Lyapunov exponent; v3: matches published version
Subjects: High Energy Physics - Theory (hep-th); General Relativity and Quantum Cosmology (gr-qc); High Energy Physics - Phenomenology (hep-ph)
Cite as: arXiv:1602.03535 [hep-th]
  (or arXiv:1602.03535v3 [hep-th] for this version)
  https://doi.org/10.48550/arXiv.1602.03535
Journal reference: Phys. Rev. D 94, 024003 (2016)
Related DOI: https://doi.org/10.1103/PhysRevD.94.024003

Submission history

From: Jorge Rocha [view email]
[v1] Wed, 10 Feb 2016 21:08:51 UTC (1,903 KB)
[v2] Thu, 18 Feb 2016 10:53:01 UTC (307 KB)
[v3] Sat, 23 Jul 2016 14:57:38 UTC (485 KB)
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