Complexity of Scalar Collapse in Anti-de Sitter Spacetime
Andrew R. Frey, Michael P. Grehan, and Manu Srivastava
TL;DR
This paper investigates the behavior of holographic complexity during scalar field collapse in anti-de Sitter spacetime, revealing oscillatory patterns and scaling symmetries through numerical analysis.
Contribution
It provides the first detailed numerical study of volume and action complexities during scalar collapse in AdS, highlighting their quasiperiodic oscillations and scaling properties.
Findings
Volume complexity oscillates quasiperiodically before horizon formation.
Action complexity exhibits quasiperiodic behavior with increasing spikes.
Complexity scales with the amplitude of the scalar field.
Abstract
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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