New Types of Thermodynamics from $(1+1)$-Dimensional Black Holes

Details New Types of Thermodynamics from $(1+1)$-Dimensional Black Holes New Types of Thermodynamics from $(1+1)$-Dimensional Black Holes

1993-08-24

arxiv.org/abs/gr-qc/9308027v1

Class.Quant.Grav.10:2373-2378,1993

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

WATPHYS-TH93/05, Latex, 10 pgs. 1 figure (available on request), to appear in Class. Quant. Grav

Scientific paper

10.1088/0264-9381/10/11/020

For normal thermodynamic systems superadditivity $\S$, homogeneity $\H$ and concavity $\C$ of the entropy hold, whereas for $(3+1)$-dimensional black holes the latter two properties are violated. We show that $(1+1)$-dimensional black holes exhibit qualitatively new types of thermodynamic behaviour, discussed here for the first time, in which $\C$ always holds, $\H$ is always violated and $\S$ may or may not be violated, depending of the magnitude of the black hole mass. Hence it is now seen that neither superadditivity nor concavity encapsulate the meaning of the second law in all situations.

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