Author:
An Yu-Sen,Li Li,Yang Fu-Guo,Yang Run-Qiu
Abstract
Abstract
We study the interior dynamics of a top-down holographic superconductor from M-theory. The condense of the charged scalar hair necessarily removes the inner Cauchy horizon and the spacetime ends at a spacelike singularity. Although there is a smooth superconducting phase transition at the critical temperature, the onset of superconductivity is accompanied by intricate interior dynamics, including the collapse of the Einstein-Rosen bridge, the Josephson oscillations of the condensate, and the final Kasner singularity. We obtain analytically the transformation rule for the alternation of different Kasner epochs. Thanks to the nonlinear couplings of the top-down theory, there is generically a never-ending chaotic alternation of Kasner epochs towards the singularity. We compute the holographic complexity using both the complexity-action and the complexity-volume dualities. In contrast to the latter, the complexity growth rate from the complexity-action duality has a discontinuity at the critical temperature, characterizing the sudden change of the internal structure before and after the superconducting phase transition.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference54 articles.
1. E.M. Lifshitz and I.M. Khalatnikov, Investigations in relativistic cosmology, Adv. Phys. 12 (1963) 185 [INSPIRE].
2. V.A. Belinsky, I.M. Khalatnikov and E.M. Lifshitz, Oscillatory approach to a singular point in the relativistic cosmology, Adv. Phys. 19 (1970) 525 [INSPIRE].
3. V.A. Belinski and I.M. Khalatnikov, Effect of Scalar and Vector Fields on the Nature of the Cosmological Singularity, Sov. Phys. JETP 36 (1973) 591 [INSPIRE].
4. J. Isenberg, On Strong Cosmic Censorship, arXiv:1505.06390 [INSPIRE].
5. H. Ringström, Origins and development of the Cauchy problem in general relativity, Class. Quant. Grav. 32 (2015) 124003 [INSPIRE].
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