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2017

Gravitational turbulent instability of AdS${}_5$

Bizoń, Piotr, Rostworowski, Andrzej

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We consider the problem of stability of anti-de Sitter spacetime in five dimensions under small purely gravitational perturbations satisfying the cohomogeneity-two biaxial Bianchi IX ansatz.

In analogy to spherically symmetric scalar perturbations, we observe numerically a black hole formation on the time-scale $\mathcal{O}(\varepsilon^{-2})$, where $\varepsilon$ is the size of the perturbation.

Gravitational turbulent instability of AdS${}_5$ · Around

Built on

A. Ishibashi, R.M. Wald, Dynamics of non-globally hyperbolic static apacetimes III: anti-de Sitter spacetine, Class. Quant. Grav. 21
2004
Earlier work this paper cites.
P. Bizoń, T. Chmaj, B.G. Schmidt, Critical behavior in vacuum gravitational collapse in 4+1 dimensions, Phys. Rev. Lett. 95
2005
Earlier work this paper cites.
P. Bizoń, A. Rostworowski, Weakly turbulent instability of anti-de Sitter spacetime, Phys. Rev. Lett. 107
2011
Earlier work this paper cites.

Similar

J. Jałmużna, A. Rostworowski, P. Bizoń, AdS collapse of a scalar field in higher dimensions, Phys. Rev. D 84
2011
Cited alongside, same era.
O.J.C. Dias, G.T. Horowitz, J.E. Santos, Gravitational turbulent instability of anti-de Sitter space, Class. Quant. Grav. 29
2012
Cited alongside, same era.
M. Maliborski, Dynamics of nonlinear waves on bounded domains, PhD thesis, Jagiellonian University, 2014; arXiv:1603.00935 [gr-qc]
Original
2014
Cited alongside, same era.

Then

P. Bizoń, M. Maliborski, A. Rostworowski, Resonant dynamics and the instability of anti-de Sitter spacetime , Phys. Rev. Lett. 115
2015
Later among the works it cites.
B. Craps and O. Evnin, AdS (in)stability: an analytic approach,
2016
Later among the works it cites.

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