Rotating traversable wormholes in AdS

We analyze the amount of information that can be sent through the traversable wormholes of Gao, Jafferis, and Wall. Although we find that the wormhole is open for a proper time shorter than the Planck time, the transmission of a signal through the wormhole can sometimes remain within the semiclassical regime. For black holes with horizons of order the AdS radius, information cannot be reliably sent through the wormhole. However, black holes with horizon radius much larger than the AdS radius do allow for the transmission of a number of quanta of order the horizon area in AdS units. More information can be sent through the wormhole by increasing the number of light fields contributing to the negative energy. Our bulk computations agree with a boundary analysis based on quantum teleportation.

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“…in agreement with [4]. Here, r h is the black hole radius, is the AdS radius and d are the boundary spacetime dimensions.…”

Section: Introductionsupporting

confidence: 79%

Traversable wormholes in AdS and bounds on information transfer

et al. 2020

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“…For contrast, appendix A describes a 'cosmological wormhole' in which the back-reaction of negative quantum stress-energy causes a time-delay instead of the above time-advance. As in [9][10][11][12], the time advance in our asymptotically-flat case becomes large in the limit κ + d → 0 where the background black holes become extremal. Our perturbative description then breaks down but, at least at large N , it is natural to expect non-perturbative corrections to render the wormhole traversable for all time as in [10].…”

Section: Discussionsupporting

confidence: 62%

Traversable asymptotically flat wormholes with short transit times

Fu¹,

Grado-White²,

Marolf³

2019

Class. Quantum Grav.

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We construct traversable wormholes by starting with simple four-dimensional classical solutions respecting the null energy condition and containing a pair of oppositely charged black holes connected by a non-traversable wormhole. We then consider the perturbative back-reaction of bulk quantum fields in Hartle-Hawking states. Our geometries have zero cosmological constant and are asymptotically flat except for a cosmic string stretching to infinity that is used to hold the black holes apart. Another cosmic string wraps the non-contractible cycle through the wormhole, and its quantum fluctuations provide the negative energy needed for traversability. Our setting is closely related to the non-perturbative construction of Maldacena, Milekhin, and Popov (MMP), but the analysis is complementary. In particular, we consider cases where back-reaction slows, but fails to halt, the collapse of the wormhole interior, so that the wormhole is traversable only at sufficiently early times. For non-extremal backgrounds, we find the integrated null energy along the horizon to be exponentially small, and thus traversability to be exponentially fragile. Nevertheless, if there are no larger perturbations, and for appropriately timed signals, a wormhole with mouths separated by a distance d becomes traversable with a minimum transit time t min transit = d + logs. Thus t min transit d is smaller than for the eternally traversable MMP wormholes by more than a factor of 2, and approaches the value that, at least in higher dimensions, would be the theoretical minimum. For contrast we also briefly consider a 'cosmological wormhole' solution where the back-reaction has the opposite sign, so that negative energy from quantum fields makes the wormhole harder to traverse.

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“…In this sense the AANEC is satisfied. Similar setups have been studied for AdS 2 and dual SYK models [13][14][15] and for rotating AdS 3 wormholes in [16]. Furthermore, since such traversable wormholes provide a holographic dual of certain quantum teleportation protocols, they are of broader interest in connection with the ER = EPR [17,18] and GR = QM [19] conjectures.…”

Section: Introductionmentioning

confidence: 94%

Simple perturbatively traversable wormholes from bulk fermions

Marolf

McBride

2019

J. High Energ. Phys.

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A new class of traversable wormholes was recently constructed which relies only on local bulk dynamics rather than an explicit coupling between distinct boundaries. Here we begin with a four-dimensional Weyl fermion field of any mass m propagating on a classical background defined by a Z 2 quotient of (rotating) BTZ × S 1 . This setup allows one to compute the fermion stress-energy tensor exactly. For appropriate boundary conditions around a non-contractible curve, perturbative back-reaction at any m renders the associated wormhole traversable and suggests it can become eternally traversable at the limit where the background becomes extremal. A key technical step is the proper formulation of the method of images for fermions in curved spacetime. We find the stressenergy of spinor fields to have important kinematic differences from that of scalar fields, typically causing the sign of the integrated null stress-energy (and thus in many cases the sign of the time delay/advance) to vary around the throat of the wormhole. Similar effects may arise for higher-spin fields.

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Rotating traversable wormholes in AdS

Cited by 42 publications

References 36 publications

Traversable wormholes in AdS and bounds on information transfer

Traversable wormholes in AdS and bounds on information transfer

Traversable asymptotically flat wormholes with short transit times

Simple perturbatively traversable wormholes from bulk fermions

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