Entropy of a Quasi-de Sitter Spacetime and the Role of Specific Heat


Luongo O. Azizinia M. Boshkayev K.
January 2026Multidisciplinary Digital Publishing Institute (MDPI)

Entropy
2026#28Issue 1

We investigate the thermodynamic properties of a generalized de Sitter-like configuration. This investigation proceeds in two essential steps: (1) first, we construct a spacetime whose energy–momentum tensor asymptotically reproduces quintessence while maintaining isotropic pressures, despite being fueled by a nonconstant energy–momentum tensor; (2) second, we define a finite domain of validity for the solution, within which an additional Cauchy horizon emerges. Afterwards, we analyze the thermodynamic behavior of this configuration and compare it with the standard de Sitter case. Our results indicate that the extra parameter introduced in the metric does not lead to a positive specific heat; this value remains negative, suggesting that the role of such a parameter is thermodynamically nonessential.

black holes , de Sitter space , thermodynamics

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School of Science and Technology, University of Camerino, Via Madonna delle Carceri, Camerino, 62032, Italy
Osservatorio Astronomico di Brera, Istituto Nazionale di Astrofisica (INAF), Milano, 20121, Italy
Istituto Nazionale di Fisica Nucleare (INFN), Sezione di Perugia, Perugia, 06123, Italy
Faculty of Physics and Technology, Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan

School of Science and Technology
Osservatorio Astronomico di Brera
Istituto Nazionale di Fisica Nucleare (INFN)
Faculty of Physics and Technology

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