Carrollian contraction of Schwarzschild-AdS thermodynamics requires rescaling the time generator and G such that the extended first law remains finite, yielding T to 0 and S to infinity with finite T delta S and V delta P.
Dolan,Pressure and volume in the first law of black hole thermodynamics,Classical and Quantum Gravity28(2011) 235017
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Phase-Space Contractions of Carrollian Black-Hole Thermodynamics
Carrollian contraction of Schwarzschild-AdS thermodynamics requires rescaling the time generator and G such that the extended first law remains finite, yielding T to 0 and S to infinity with finite T delta S and V delta P.