Abstract

Nice slices have played a pivotal role in the discussion of the black hole information paradox as they avoid regions of strong spacetime curvature and yet smoothly cut through the infalling matter and the outgoing Hawking radiation, thus, justifying the use of low energy field theory. To avoid information loss it has been argued recently, however, that local effective field theory has to break down at the horizon. To assess the extent of this breakdown in a UV complete framework we study string-theoretic effects on nice slices in Schwarzschild black holes. Our purpose is two-fold. First, we use nice slices to address various open questions and caveats of [1] where it was argued that boost-enhanced non-adiabatic string-theoretic effects at the horizon could provide a dynamical mechanism for the firewall. Second, we identify two non-adiabatic effects on nice slices in Schwarzschild black holes: pair production of open strings near the horizon enhanced by the presence of the infinite tower of highly excited string states and a late-time non-adiabatic effect intrinsic to nice slices.

Highlights

  • There are several known instances, notably in extreme environments, where effective field theory does not capture the correct physics and a full analysis using a UV complete theory is required

  • The intuitive picture of strings extended between D-branes moving on trajectories in the black hole geometry suggests a growing mass as they are stretched apart that can lead to a non-adiabatic production

  • In [1] it was shown that using these methods to compute open string pair production between pairs of D-branes on relatively relativistically boosted trajectories in the Schwarzschild geometry can yield a non-adiabatically enhanced production at the horizon; this effect was proposed as a dynamical mechanism for firewalls

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Summary

Open strings pair production and near-horizon boost

We review some basic facts about strings in curved backgrounds and the methods for computing the rate of open string pair production. We discuss the dynamical thought experiment first considered in [1] that connects possible non-adiabatic string-theoretic effects to the physics of infalling observers in a Schwarzschild black hole

String production in curved backgrounds
The Gedankenexperiment
Nice slices and D-brane trajectories
Nice slicing of Schwarzschild black holes
Trajectories in Schwarzschild black holes
Nice slicing of Rindler space
Trajectories in Rindler space
String production on nice slices in Rindler space
Real-time estimate
Saddle point method
Another string profile
String production on nice slices in Schwarzschild
Real-time string production method and niceness of nice slices
Size of open strings
Discussion
Full Text
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