Notes on the double Wick rotated BTZ black hole

2025/04/14 by Dai, Hua-Yu, Fang, Xi-Hao, Mitsutoshi Fujita +1 · 1 citation
Physics and Astronomy · #Black Holes and Theoretical Physics #Noncommutative and Quantum Gravity Theories #Astrophysical Phenomena and Observations

paper · pdf · doi:10.48550/arxiv.2504.10562

Abstract

We analyze the double Wick rotated 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.

Citations

• Cluster algebraic description of entanglement patterns for the BTZ black hole
• Linearized Einstein's Equation around pure BTZ from Entanglement Thermodynamics
• Generalized geodesic deviation equations and an entanglement first law for rotating BTZ black holes
• Entanglement Entropy Renormalization for the NC scalar field coupled to classical BTZ geometry
• Holographic mutual information in global Vaidya-BTZ spacetime
• On Holographic Entanglement Entropy with Second Order Excitations
• Note on Mutual Information between Two Intervals of Extremal BTZ
• Entanglement Entropy of Extremal BTZ
• Holographic Entanglement Entropy of the BTZ Black Hole
• Choptuik Scaling and Quasinormal Modes in the AdS/CFT Correspondence
• On geodesic propagators and black hole holography
• A Stress Tensor for Anti-de Sitter Gravity
• The AdS/CFT Correspondence and a New Positive Energy Conjecture for General Relativity
• The (2 + 1)-dimensional black hole
• General form of thermodynamical entropy for black hole
• Aspects of black hole quantum mechanics and thermodynamics in 2+1 dimensions
• Geometry of the 2+1 Black Hole
• Quasilocal energy and conserved charges derived from the gravitational action
• Entropy versus action in the (2 + 1)-dimensional Hartle-Hawking wave function
• Central charges in the canonical realization of asymptotic symmetries: An example from three dimensional gravity

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• Stringy Generalization of the First Law of Thermodynamics for Rotating BTZ Black Hole with a Cosmological Constant as State Parameter
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• Thermodynamical Analogy Between BTZ Black Holes and Effective String Theory
• Specific Heats for Rotating Quantum BTZ Black Holes in Extended Thermodynamics