Warping wormholes with dust: a metric construction of the Python’s Lunch

Abstract

We show how wormholes in three spacetime dimensions can be customizably warped using pressureless matter. In particular, we exhibit a large new class of solutions in (2 + 1)-dimensional general relativity with energy-momentum tensor describing a negative cosmological constant and positive-energy dust. From this class of solutions, we construct wormhole geometries and study their geometric and holographic properties, including Ryu- Takayanagi surfaces, entanglement wedge cross sections, mutual information, and outer entropy. Finally, we construct a Python’s Lunch geometry: a wormhole in asymptotically anti-de Sitter space with a local maximum in size near its middle.

Topological shadows and complexity of islands in multiboundary wormholes

“…Therefore, the computation of volumes is aimed at enhancing our understanding of the complexity of the radiation state. Recent findings and especially the implications of Python's lunch [26,27], suggest that even though quantum extremal surfaces enable us to reproduce the Page curve, it is still exponentially hard to compute the complexity of the radiation state. Therefore, while Hawking was mistaken about entropy, his statements truly apply to complexity.…”

“…Due to the Harlow-Hayden protocol [25] and later works by Susskind and collaborators [26], there is a general idea in the literature that this kind of state decoding is an exponentially hard task. This is supported by proposals about a state of the art geometric structure known as Python's lunch [26,27] that shows some signs why this is supposed to be such a complicated task. Nevertheless, the gravitational proposals of complexity [28][29][30] have not yet been able to find a situation that agrees with this particular suggestion.…”

More of the Bulk from Extremal Area Variations

“…Importantly, this allows us to apply our result to cases like that shown in Figure 1, in which HRT surfaces anchored to two disconnected boundaries go through an eternal black hole, to conclude that the metric in (part of) the black hole interior is uniquely fixed by boundary entanglement entropies; the assumptions required in [1] exclude such surfaces. Note, however, that we can say nothing about regions like the "bulge" of the recently discussed "Python's lunch" geometries [50,51], nor the interiors of "bag of gold" geometries [52], which are not reached by boundary-anchored HRT surfaces. The reconstruction of such portions of the bulk would presumably require a different set of boundary data than those used here.…”