Entanglement Entropy of Generalized Rindler Wedge

Abstract

We study the most general horizons of accelerating observers and find that in a general spacetime, only spacelike surfaces satisfying a global condition could become horizons of accelerating observers, which we name the Rindler-convexity condition. The entanglement entropy associated with a Rindler-convex region is proportional to the area of the enclosing surface. This observer physics provides a novel perspective to define a welldefined subregion in spacetime, named the generalized Rindler wedge, whose degrees of freedom should be fully encoded within the subregion. We propose a holographic interpretation of generalized Rindler wedges and analyze in detail its relation with entanglement wedges and causal wedges in holography. Finally, we analyze the UV/IR entanglement both on the boundary and in the bulk utilizing Rindler-convexity.