Abstract

We discuss the holographic reconstruction of static thin bubble walls in BTZ black hole geometries. We consider two reconstruction prescriptions suggested in recent years: hole-ography and light-cone cuts, in the context of thin bubble walls, and comment on their applicability in the presence of non-trivial matter in the bulk. We find that while the light-cone cuts prescription goes through within its own limitations, the current hole-ographic approaches are inadequate to describe bubble spacetimes completely. Much like entanglement shadows found around BTZ black holes and conical defects in the bulk, we find that thin bubbles are accompanied by shadows of their own, which are regions of spacetime which are only partially probed by minimal geodesics. We speculate that such shadows might be a generic feature of the presence of matter in the bulk.

Highlights

  • Since the seminal work of Maldacena in 1997 [1], holography has came to become one of the cornerstones of twenty-first century high energy physics

  • We discuss the holographic reconstruction of static thin bubble walls in Bañados, Teitelboim, and Zanelli (BTZ) black hole geometries

  • Much as entanglement shadows found around BTZ black holes and conical defects in the bulk, we find that thin bubbles are accompanied by shadows of their own, which are regions of spacetime that are only partially probed by minimal geodesics

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Summary

INTRODUCTION

Since the seminal work of Maldacena in 1997 [1], holography has came to become one of the cornerstones of twenty-first century high energy physics. We can derive analytic expressions for the quantities being proposed in bulk reconstruction and explore their validity Our setup is such that the static shell solution bounds two BTZ black hole spacetimes: the inside “−” and outside “þ,” respectively. In Appendix, we present the construction of kinematic spaces associated with bubble spacetimes

STATIC BUBBLE GEOMETRY
Static bubble metric
Spatial geodesics
Null geodesics
HOLOGRAPHIC ENTANGLEMENT ENTROPY
BTZ black holes
Static BTZ bubbles
HOLOGRAPHIC RECONSTRUCTION OF STATIC BTZ BUBBLES
Point boundary functions for BTZ black holes
Point boundary functions for bubbles
Light-cone cuts
Light-cone cuts for BTZ black hole
Light-cone cuts for bubbles
DISCUSSION
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