Lukewarm RNdS black holes are promoted to a critical inter-horizon thermal manifold where a linearized mode's relaxation time diverges at ρ_* ≈ 0.4354.
A Note on Charged Black Holes in AdS space and the Dual Gauge Theories
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abstract
We study the thermodynamics and the phase structures of Reissner-Nordstrom and Born-Infeld black holes in AdS space by constructing ``off-shell'' free energies using thermodynamic quantities derived directly from the action. We then use these results to propose ``off-shell'' effective potentials for the respective boundary gauge theories. The saddle points of the potentials describe all the equilibrium phases of the gauge theories.
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Critical Inter-Horizon Thermal Dynamics on the Lukewarm Reissner-Nordstr\"om-de Sitter Manifold
Lukewarm RNdS black holes are promoted to a critical inter-horizon thermal manifold where a linearized mode's relaxation time diverges at ρ_* ≈ 0.4354.