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Thermal Decay without Information Loss in Horizonless Microstate Geometries
by Iosif Bena, Pierre Heidmann, Ruben Monten, Nicholas P. Warner
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Ruben Monten |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/1905.05194v2 (pdf) |
| Date accepted: | 2019-11-05 |
| Date submitted: | 2019-10-25 02:00 |
| Submitted by: | Monten, Ruben |
| Submitted to: | SciPost Physics |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approach: | Theoretical |
Abstract
We develop a new hybrid WKB technique to compute boundary-to-boundary scalar Green functions in asymptotically-AdS backgrounds in which the scalar wave equation is separable and is explicitly solvable in the asymptotic region. We apply this technique to a family of six-dimensional $\frac{1}{8}$-BPS asymptotically AdS$_3\,\times\,$S$^3$ horizonless geometries that have the same charges and angular momenta as a D1-D5-P black hole with a large horizon area. At large and intermediate distances, these geometries very closely approximate the extremal-BTZ$\,\times\,$S$^3$ geometry of the black hole, but instead of having an event horizon, these geometries have a smooth highly-redshifted global-AdS$_3\,\times\,$S$^3$ cap in the IR. We show that the response function of a scalar probe, in momentum space, is essentially given by the pole structure of the highly-redshifted global-AdS$_3$ modulated by the BTZ response function. In position space, this translates into a sharp exponential black-hole-like decay for times shorter than $N_1 N_5$, followed by the emergence of evenly spaced "echoes from the cap," with period $\sim N_1 N_5$. Our result shows that horizonless microstate geometries can have the same thermal decay as black holes without the associated information loss.
Author comments upon resubmission
List of changes
We have:
- corrected misprints such as Schrödinger (p.9 and onward),
- replaced the notation $\Psi_E$ by $\Psi_{ex}$ in order to avoid notational conflict with other conventions (eq(2.12) and onward),
- addressed the confusing statement $x \ll \infty$ (p.11),
- added the definitions of the Airy functions (p.11),
- explained the statement that $J_R = 1/2$ is the minimal value (p.27),
- commented briefly on the difficulty extending our method to flat space superstrata (p.5),
- added references to the Virgo/LIGO and Event Horizon Telescope publications.
Published as SciPost Phys. 7, 063 (2019)