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Thermodynamics of rotating thin shells in the BTZ spacetime

Lemos, José P. S. ; Lopes, Francisco J. ; Minamitsuji, Masato ; Rocha, Jorge V.

Physical review. D, 2015-09, Vol.92 (6), Article 064012 [Periódico revisado por pares]

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  • Título:
    Thermodynamics of rotating thin shells in the BTZ spacetime
  • Autor: Lemos, José P. S. ; Lopes, Francisco J. ; Minamitsuji, Masato ; Rocha, Jorge V.
  • Assuntos: Cosmology ; Entropy ; Equations of state ; Gravitation ; Inverse ; Rotating ; Thermodynamics ; Thin walled shells
  • É parte de: Physical review. D, 2015-09, Vol.92 (6), Article 064012
  • Notas: ObjectType-Article-1
    SourceType-Scholarly Journals-1
    ObjectType-Feature-2
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  • Descrição: We investigate the thermodynamic equilibrium states of a rotating thin shell, i.e., a ring, in a (2+1)-dimensional spacetime with a negative cosmological constant. The inner and outer regions with respect to the shell are given by the vacuum anti-de Sitter and the rotating Banados-Teitelbom-Zanelli spacetimes, respectively. The first law of thermodynamics on the thin shell, together with three equations of state for the pressure, the local inverse temperature and the thermodynamic angular velocity of the shell, yields the entropy of the shell, which is shown to depend only on its gravitational radii. When the shell is pushed to its own gravitational radius and its temperature is taken to be the Hawking temperature of the corresponding black hole, the entropy of the shell coincides with the Bekenstein-Hawking entropy. In addition, we consider simple ansatze for the equations of state, as well as a power-law equation of state where the entropy and the thermodynamic stability conditions can be examined analytically.
  • Idioma: Inglês

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