标题： 渐近AdS带电玻色子星背景中的极值表面 显示英文标题

标题： Extremal Surfaces in Asymptotically AdS Charged Boson Stars Backgrounds

摘要： 在本文中，受纠缠熵全息对偶的启发，我们考虑了在渐近反德西特时空中的三维和四维带电玻色子星背景中，极值、余维为二的类空表面的行为。 我们发现了一些条件，这些条件表明最小面积表面族不包含整个体时空，并构建了一个相图，展示了不同区域之间的转变。 此外，我们利用恒星质量与标量场中心密度之间的关系，论证了此类空心解可能的不稳定性。 最后，我们讨论了我们的发现对研究约化密度矩阵全息对偶研究的影响。 显示英文摘要

摘要： In this paper, inspired by the holographic dual of the entanglement entropy, we consider the behaviour of extremal, codimension two, spacelike surfaces in the background of three and four dimensional charged boson stars in asymptotically anti-de Sitter spacetime. We find conditions for which families of minimal area surfaces fail to contain the entire bulk spacetime and construct a phase diagram showcasing the transition between regimes. In addition, we use the relation between the star's mass and the central density of the scalar field to argue for a possible instability of such hollow solutions. Finally, we discuss the consequences of our findings for the study of holographic duals of reduced density matrices.