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2013

Lecture Notes on Turbulent Instability of Anti-de Sitter Spacetime

Maliborski, Maciej, Rostworowski, Andrzej

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In these lecture notes we discuss recently conjectured instability of anti-de Sitter space, resulting in gravitational collapse of a large class of arbitrarily small initial perturbations.

We uncover the technical details used in the numerical study of spherically symmetric Einstein-massless scalar field system with negative cosmological constant that led to the conjectured instability.

Lecture Notes on Turbulent Instability of Anti-de Sitter Spacetime · Around

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D. Christodoulou, The problem of a self-gravitating scalar field , Comm. Math. Phys
1986
Earlier work this paper cites.
D. Christodoulou, A mathematical theory of gravitational collapse , Comm. Math. Phys
1987
Earlier work this paper cites.
D. Christodoulou, S. Klainerman, The global nonlinear stability of the Minkowski space , (Princeton University Press, Princeton, NJ, 1993)
1993
Earlier work this paper cites.
M.W. Choptuik, Universality and scaling in gravitational collapse of a massless scalar field , Phys. Rev. Lett
1993
Earlier work this paper cites.
J.M. Maldacena, The Large N Limit of Superconformal Field Theories and Supergravity , Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
E. Witten, Anti De Sitter Space And Holography , Adv. Theor. Math. Phys
1998
Earlier work this paper cites.
S. Hawking and H. Reall, Charged and rotating AdS black holes and their CFT duals
Original
2000
Earlier work this paper cites.

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