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.
Highlights
Geometries for AdS plus dustWe begin by deriving a new asymptotically AdS solution to the Einstein equation in 2+1 dimensions that contains pressureless dust
The question of quantum mechanical complexity associated with gravitational systems has been of interest for some time in the context of black holes and holography
Given a holographic CFT state that is dual to a two-sided black hole, such as the thermofield double, its computational complexity is dual to the length of the wormhole or to the value of the gravitational action within the Wheeler-DeWitt patch
Summary
We begin by deriving a new asymptotically AdS solution to the Einstein equation in 2+1 dimensions that contains pressureless dust.
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