Abstract

We consider the fate of a massless (or ultra-relativistic massive) string probe propagating down the BTZ-like throat of a microstate geometry in the D1-D5 system. Far down the throat, the probe encounters large tidal forces that stretch and excite the string. The excitations are limited by the very short transit time through the region of large tidal force, leading to a controlled approximation to tidal stretching. We show that the amount of stretching is proportional to the incident energy, and that it robs the probe of the kinetic energy it would need to travel back up the throat. As a consequence, the probe is effectively trapped far down the throat and, through repeated return passes, scrambles into the ensemble of nearby microstates. We propose that this tidal trapping may lead to weak gravitational echoes.

Highlights

  • The black hole constituents extends out to the horizon scale, and the string/black-hole correspondence transition [3, 14, 15] indicates that a conventional brane bound state emerges from the horizon as the coupling is dialed down

  • We consider the fate of a massless string probe propagating down the BTZ-like throat of a microstate geometry in the D1-D5 system

  • We show that the amount of stretching is proportional to the incident energy, and that it robs the probe of the kinetic energy it would need to travel back up the throat

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Summary

The microstate geometry

We are going to focus on one particular family of microstate geometries, namely the (1, 0, n) superstrata. This family has the advantage of being relatively simple and computable. As a result, has been widely analyzed (see, for example, [19,20,21, 23, 28,29,30,31]). We expect our results to be far more universal, applying to all superstrata, and probably to all microstate geometries, and perhaps to any coherent geometric realization of black-hole microstructure

The geometry
Λ sin2 θ dφ1
The quantized charges
Radial geodesics
The Penrose limit
The string metric
String propagation
Tidal excitation of strings
Trapping of the string
Typical shape of the string
Tidal forces revisited
Expansions of the tidal tensor
E2 b2 a4 e n
Integrating the geodesic deviation
Final comments
A The B-field flux
Building the fluxes
The Penrose-Güven limit of the B-field
Full Text
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