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Criticality and thermodynamic geometry of quantum BTZ black holes
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abstract
Within the framework of extended black hole thermodynamics, where the cosmological constant acts as the thermodynamic pressure and its conjugate as the thermodynamic volume, we analyze the phase structure and thermodynamic geometry of the three-dimensional quantum-corrected BTZ (qBTZ) black hole. Our results uncover two-phase transitions in the $T-S$ plane across all pressures except at a critical value. Numerical analysis reveals continuous critical phenomena along the coexistence curve, with critical exponents of 2 and 3 for the heat capacity at constant pressure and the NTG curvature, respectively. Importantly, these values notably deviate from the well-known critical exponents observed in mean-field Van der Waals (VdW) fluids, where the NTG curvature and heat capacity demonstrate discontinuous criticality. To our knowledge, our investigation is the first exploration of critical behavior in black holes incorporating consistent semiclassical backreaction.
Forward citations
Cited by 4 Pith papers
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Critical phenomenon of quantum BTZ black holes
Quantum BTZ black holes have a critical point at backreaction strength ν=1 with non-mean-field exponents (α=0, β=1, γ=2, δ=3) that violate the 2-α=β(1+δ) scaling law.
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Violating Weak Cosmic Censorship in AdS$_3$ via Gedanken Experiment
Under the test-particle approximation, an extremal quantum-corrected BTZ black hole can have its horizon destroyed by a particle with large angular momentum, giving a potential counterexample to weak cosmic censorship.
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Timelike entanglement and central charge for quantum BTZ black holes
The paper numerically computes timelike entanglement entropy for quantum BTZ black holes and claims that the effective central charge drops sharply as quantum backreaction crosses a critical value.
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Analytical approach to criticality of AdS black holes
A self-reciprocal relation between coexisting black hole phases reduces two coexistence conditions to a single algebraic equation, giving exact coexistence lines for several AdS black holes and the Van der Waals fluid.
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