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Notes on the double Wick rotated BTZ black hole

Hua-Yu Dai1,*, Xi-Hao Fang2,†, and Mitsutoshi Fujita3,‡

  • *Contact author: daihuayu@cuhk.edu.cn
  • †Contact author: fangxh9@mail2.sysu.edu.cn
  • ‡Contact author: fujitamitsutoshi@usc.edu.cn
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Phys. Rev. D 112, 026034 – Published 31 July, 2025

DOI: https://doi.org/10.1103/67wf-hqlm

Abstract

We analyze the double Wick rotated Bañados-Teitelboim-Zanelli (BTZ) black hole with the Euclidean signature, which is a Riemannian manifold. We calculate thermodynamics, total energy of spacetime, and holographic two-point functions in the double Wick rotated background. Results agree with those of a rotating BTZ with the same periodicity.

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Phys. Rev. D 112, 026034– Published 31 July, 2025
  • Received 26 April 2025
  • Accepted 7 July 2025
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