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Complexity of Scalar Collapse in Anti-de Sitter Spacetime

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arxiv 2110.09630 v4 pith:P35UYFA5 submitted 2021-10-18 hep-th

classification hep-th
keywords complexityfieldscalaractionamplitudeanti-decollapsesitter
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We calculate the volume and action forms of holographic complexity for the gravitational collapse of scalar field matter in asymptotically anti-de Sitter spacetime, using numerical methods to reproduce the geometry responding to the oscillating field over multiple crossing times. Like the scalar field pulse, the volume complexity oscillates quasiperiodically before horizon formation. It also shows a scaling symmetry with the amplitude of the scalar field. The action complexity is also quasiperiodic with spikes of increasing amplitude.

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Cited by 1 Pith paper

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  1. Holographic subregion complexity in a moving strongly coupled plasma

    hep-th 2024-12 conditional novelty 5.0 of 10

    For a boosted strongly coupled plasma in d=2,3,4, holographic subregion complexity increases with temperature, velocity, and region size, and diverges as the Lorentz factor squared, gamma^2, when velocity approaches l...

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