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.

Details

Title
Complexity of scalar collapse in anti-de Sitter spacetime
Author
Frey, Andrew R 1   VIAFID ORCID Logo  ; Grehan, Michael P 1 ; Srivastava Manu 2   VIAFID ORCID Logo 

1  University of Winnipeg, Department of Physics and Winnipeg Institute for Theoretical Physics, Winnipeg, Canada (GRID:grid.267457.5) (ISNI:0000 0001 1703 4731) 
2  Perimeter Scholars International, Perimeter Institute for Theoretical Physics, Waterloo, Canada (GRID:grid.420198.6) (ISNI:0000 0000 8658 0851) 
Publication year
2021
Publication date
Dec 2021
Publisher
Springer Nature B.V.
e-ISSN
10298479
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1007/JHEP12(2021)135
ProQuest document ID
2612227717
Copyright
© The Author(s) 2021. This work is published under CC-BY 4.0 (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.