Skip to main content
Log in

Polytropic black hole as a heat engine

  • Research Article
  • Published:
General Relativity and Gravitation Aims and scope Submit manuscript

Abstract

Recently we have found an asymptotically AdS solution for Einstein’s equations, those of thermodynamics match those of a special case of polytropic gas (Setare and Adami in Phys Rev D 91:084014, 2015). Here we show that a polytropic black hole can be considered as a heat engine and then we calculate work done by this system and its efficiency.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

Notes

  1. See “Figure 2” in [6], for labeling Carnot (or equivalently Stirling) cycle.

  2. See “Figure 3” in [6].

References

  1. Setare, M.R., Adami, H.: Polytropic black hole. Phys. Rev. D 91, 084014 (2015)

    Article  ADS  Google Scholar 

  2. Rajagopal, A., Kubiznak, D., Mann, R.B.: Van der Waals Black Hole. arXiv:1408.1105[gr-qc]

  3. Kubiznak, D., Mann, R.B.: JHEP 1207, 033 (2012)

    Article  MathSciNet  ADS  Google Scholar 

  4. Kolb, E.W., Turner, M.S.: The Early Universe. Addison-Wesley, Boston (1990)

    MATH  Google Scholar 

  5. Kastor, D., Ray, S., Traschen, J.: Enthalpy and the mechanics of AdS black holes. Class. Quant. Grav. 26, 195011 (2009). arXiv:0904.2765[hep-th]

  6. Johnson C. V.: Holographic heat engines. Class. Quant. Grav. 31, 205002 (2014). arXiv:1404.5982[hep-th]

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to H. Adami.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Setare, M.R., Adami, H. Polytropic black hole as a heat engine. Gen Relativ Gravit 47, 133 (2015). https://doi.org/10.1007/s10714-015-1979-0

Download citation

  • Received:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1007/s10714-015-1979-0

Keywords

Navigation