A reverse-engineered modified-Schwarzschild solution in scalar-coupled higher-curvature gravity is presented, whose headline 'weaker singularity' claim is contradicted by its own Kretschmann-scalar results (r^-9 versus GR's r^-6).
Critical behavior in 2+1 dimensional black holes
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abstract
The critical behavior and phase transition in the 2+1 dimensional Ba\~nados, Teitelboim, and Zanelli (BTZ) black holes are discussed. By calculating the equilibrium thermodynamic fluctuations in the microcanonical ensemble, canonical ensemble, and grand canonical ensemble, respectively, we find that the extremal spinning BTZ black hole is a critical point, some critical exponents satisfy the scaling laws of the ``first kind'', and the scaling laws related to the correlation length suggest that the effective spatial dimension of extremal black holes is one, which is in agreement with the argument that the extremal black holes are the Bogomol'nyi saturated string states. In addition, we find that the massless BTZ black hole is a critical point of spinless BTZ black holes.
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An innovative black hole solution and thermodynamic properties in higher-order curvature gravity with a scalar field
A reverse-engineered modified-Schwarzschild solution in scalar-coupled higher-curvature gravity is presented, whose headline 'weaker singularity' claim is contradicted by its own Kretschmann-scalar results (r^-9 versus GR's r^-6).