2020/12/31 by A. Manu, K. Narayan, Partha Paul · 30 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Isotropy #Quantum #Quantum entanglement #Quantum fluctuation #Semiclassical physics #Surface (topology) #hep-th
paper · pdf · doi:10.1007/jhep04(2021)200
published in Journal of High Energy Physics 2021(4) (Springer Nature) · Latex, 29pgs, 3 figs; v2: minor clarifications, version to be published
openalex created_date 2020/12/21 · arxiv created 2021/03/23 · openalex publication_date 2021/04/01 · arxiv updated 2021/05/05 · openalex updated_date 2026/08/05
A bstract We study aspects of entanglement and extremal surfaces in various families of spacetimes exhibiting cosmological, Big-Crunch, singularities, in particular isotropic AdS Kasner. The classical extremal surface dips into the bulk radial and time directions. Explicitly analysing the extremization equations in the semiclassical region far from the singularity, we find the surface bends in the direction away from the singularity. In the 2-dim cosmologies obtained by dimensional reduction of these and other singularities, we have studied quantum extremal surfaces by extremizing the generalized entropy. The resulting extremization shows the quantum extremal surfaces to always be driven to the semiclassical region far from the singularity. We give some comments and speculations on our analysis.