English

Charged torus-like black holes as heat engines

General Relativity and Quantum Cosmology 2021-02-10 v1

Abstract

We investigate the thermodynamical properties of charged torus-like black holes and take it as the working substance to study the heat engines. In the extended phase space, by interpreting the cosmological constant as the thermodynamic pressure, we derive the thermodynamical quantities by the first law of black hole thermodynamics and obtain the equation of state. Then, we calculate the efficiency of the heat engine in Carnot cycle as well as rectangular cycle, and investigate how the efficiency changes with respect to volume. In addition, to avoid a negative temperature, we emphasize that the charge of this black hole can not be arbitrary. Last, we check the calculation accuracy of a benchmark scheme and discuss the upper bound and lower bound for charged torus-like black hole in the scheme.

Keywords

Cite

@article{arxiv.2102.04603,
  title  = {Charged torus-like black holes as heat engines},
  author = {Hanwen Feng and Yuchen Huang and Wei Hong and Jun Tao},
  journal= {arXiv preprint arXiv:2102.04603},
  year   = {2021}
}

Comments

16 pages, 8 figures, accepted by Communications in Theoretical Physics