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Abstract
The activation temperature T in the de Sitter environment is twice larger than the Gibbons–Hawking temperature, related to the cosmological horizon. We consider the activation temperature as the local temperature of the de Sitter vacuum, and construct the local thermodynamics of the de Sitter state. This thermodynamics includes also the gravitational coupling K and the scalar Riemann curvature R as the thermodynamically conjugate variables. These variables modify the thermodynamics of the Gibbs–Duhem relation in the de Sitter state. The free energy density is proportional to –T ^{2}, which is similar to that in the nonrelativistic Fermi liquids and in relativistic matter with equation of state w = 1. The local entropy is proportional to the local temperature, while the total entropy inside the cosmological horizon is A/4G, where A is the area of the horizon. This entropy is usually interpreted as the entropy of the cosmological horizon. We also consider the possible application of the de Sitter thermodynamics to the Schwarzschild–de Sitter black hole and to black and white holes with the de Sitter cores.
Original language  English 

Pages (fromto)  282287 
Number of pages  6 
Journal  JETP Letters 
Volume  118 
Issue number  4 
Early online date  2023 
DOIs  
Publication status  Published  Aug 2023 
MoE publication type  A1 Journal articlerefereed 
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 1 Active

WEYLFLUID: Weyl and flatband fermions in topological superfluids
Eltsov, V., Volovik, G., Ikäheimo, A., Mäkinen, J., Kamppinen, T., Nissinen, J. & Mehsar Khan, S.
01/09/2020 → 31/12/2024
Project: Academy of Finland: Other research funding