https://doi.org/10.1140/epjc/s10052-019-7241-2
Regular Article - Theoretical Physics
Subregion complexity in holographic thermalization with dS boundary
Institute for Theoretical Physics and Cosmology, Zhejiang University of Technology, Hangzhou, 310023, China
* e-mail: sjzhang84@hotmail.com
Received:
10
June
2019
Accepted:
20
August
2019
Published online:
26
August
2019
We study the time evolution of holographic subregion complexity (HSC) in Vaidya spacetime with dS boundary. The subregion on the boundary is chosen to be a sphere within the cosmological horizon. It is found that the behaviour of HSC is similar to that in cases with flat boundary. The whole evolution can be divided into four stages: First, it grows almost linearly, then the growth slows down; After reaching a maximum it drops down quickly and gets to saturation finally. The linear growth rate in the first stage is found to depend almost only on the the mass parameter. As the subregion size approaches the cosmological horizon, this stage is expected to last forever with the subsequent three stages washed out. The saturation time 
depends almost only on the subregion size 
as 
which is linear in when is small but logarithmically divergent as approaches the cosmological horizon.
© The Author(s), 2019
