Thermodynamics of extremal rotating thin shells in an extremal BTZ spacetime and the extremal black hole entropy

@article{Lemos2017ThermodynamicsOE,
  title={Thermodynamics of extremal rotating thin shells in an extremal BTZ spacetime and the extremal black hole entropy},
  author={Jos{\'e} P. S. Lemos and Masato Minamitsuji and Oleg B. Zaslavskii},
  journal={Physical Review D},
  year={2017},
  volume={95},
  pages={044003}
}
In a (2+1)-dimensional spacetime with a negative cosmological constant, the thermodynamics and the entropy of an extremal rotating thin shell, i.e., an extremal rotating ring, are investigated. The outer and inner regions are taken to be the Ba\~{n}ados-Teitelbom-Zanelli (BTZ) spacetime and the vacuum ground state anti-de Sitter (AdS) spacetime, respectively. By applying the first law of thermodynamics to the extremal shell one shows that its entropy is an arbitrary function of the… 

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