Abstract
The Sachdev-Ye-Kitaev (SYK) model can be used to describe black holes (BHs) in two-dimensional nearly-anti-de-Sitter gravity. We show that when such BHs are perturbed by a time-dependent negative-energy perturbation, their interior can be partially revealed. In the SYK model, a partial measurement of the state of the Majorana fermion pairs allows one to construct a matching time-dependent negative-energy perturbation of the BH geometry that shifts the state of the BH away from its equilibrium state. Kourkoulou and Maldacena showed that, if the perturbation is strong enough, the interior can be fully exposed and the BH disappears. Here, we show that when the perturbation is weaker than the threshold for full exposure, it effectively moves the horizon of the BH inwards, thus partially exposing the interior of the BH and leaving behind a smaller BH. The exposure is in proportion to the number of measured Majorana pairs and so also in proportion to the magnitude of the energy of the perturbation. From the boundary, the partial measurement is perceived as a burst of radiation whose strength and duration are proportional to the number of measured Majorana pairs.
Highlights
INTRODUCTIONIn classical general relativity (GR), the black hole (BH) interior is an empty region with (possibly) some singular core
In classical general relativity (GR), the black hole (BH) interior is an empty region with some singular core
Kourkoulou and Maldacena (KM) [21] considered a measurement of all Majorana pairs, which, from a spacetime point of view, corresponds to a time-dependent, negative-energy perturbation which reveals the entire region behind the horizon of the NAdS2 BH
Summary
In classical general relativity (GR), the black hole (BH) interior is an empty region with (possibly) some singular core. Because the rate of emission is so slow, an external observer has to wait for a Page time [7] until the state of the BH can start to be “read.” If all of the Hawking radiation is collected (a practically impossible task), the observer would be able to determine the state of the BH From this perspective, one can view the evaporation process as gradually exposing the state of the BH interior. Kourkoulou and Maldacena (KM) [21] considered a measurement of all Majorana pairs, which, from a spacetime point of view, corresponds to a time-dependent, negative-energy perturbation which reveals the entire region behind the horizon of the NAdS2 BH. The paper ends with a summary and interpretation of our results
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