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2016

On the stability of anti-de Sitter spacetime

Deppe, Nils

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We present results from a detailed study of spherically symmetric Einstein-massless-scalar field dynamics with a negative cosmological constant in four to nine spacetime dimensions.

This study is the first to present a detailed examination of the dynamics in AdS beyond five dimensions, including a detailed comparison with numerical solutions of perturbative methods and their gauge dependence.
Using these perturbative methods, we provide evidence that the oscillatory divergence of the first derivative used to argue for instability of anti-de Sitter space by Bizon et al.
is a gauge-dependent effect in five spacetime dimensions but the divergence of the second derivative is gauge-independent.

On the stability of anti-de Sitter spacetime · Around

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Then

P. Bizoń and A. Rostworowski, Phys. Rev. Lett. 115
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Later among the works it cites.
V. Balasubramanian, A. Buchel, S. R. Green, L. Lehner, and S. L. Liebling, Phys. Rev. Lett. 115
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O. J. C. Dias and J. E. Santos, (2016), arXiv:1602.03890 [hep-th]
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Cited alongside, same era.

N. Deppe, A. Kolly, A. Frey, and G. Kunstatter, Phys. Rev. Lett. 114

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N. Deppe and A. R. Frey, JHEP 12

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Novel results beyond spherical symmetry were recently presented by Dias and Santos [ 28 ]

Cited in the paper.

B. Craps, O. Evnin, and J. Vanhoof, JHEP 01

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B. Craps, O. Evnin, and J. Vanhoof, JHEP 10

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See Eq. (2.2) of [ 16 ] for more details

Cited in the paper.

We are grateful to P. Bizon, M. Maliborski, and A. Rostworowski for suggesting we look at how higher derivatives behave

Cited in the paper.

Closest in time.

G. Moschidis, (2017), arXiv:1704.08681 [gr-qc]

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2017

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G. Moschidis, (2018), arXiv:1812.04268 [math.AP]

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