Thermodynamics, entropy, and stability of thin shells in 2+1 flat spacetimes

Abstract

The thermodynamic equilibrium states of a static thin ring shell in a (2+1)-dimensional flat spacetime is analyzed. Inside the ring the spacetime is flat, whereas outside it is conical flat. The first law of thermodynamics applied to the thin shell leads to a shell's entropy which is a function of its mass alone. Two simple forms for this mass function are given leading to two different expressions for the entropy. The equations of thermodynamic stability are analyzed resulting in certain allowed regions for the free parameters. Contrary to the usual (3+1)-dimensional case this shell's entropy is purely classic, as the only fundamental constant that enters into the problem is the (2+1)-dimensional gravitational constant $G_3$, which has units of inverse mass.

4 pages

References in corpus (1)

• Entropy of extremal black holes from entropy of quasiblack holes

Cited by in corpus (9)

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• Thermodynamic Stability of a Schwarzschild Thin-Shell Wormhole
• Thermodynamical and dynamical stability of Einstein-Maxwell and extremal Einstein-Born-Infeld thin shells in $(2+1)$ dimensions
• Classical and Quantum Thermodynamic Systems in Curved Spacetime