Black Holes and Entropy

  • Dieter LüstEmail author
  • Ward Vleeshouwers
Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)


So far, we have considered the laws of black hole mechanics and briefly discussed their correspondence to the laws of thermodynamics. We now wish to consider the laws of black hole mechanics as thermodynamical statements. This means that we will define a temperature and an entropy for our black holes. In thermodynamics, we may consider e.g. the grand canonical ensemble, where the system is characterized by quantities \(\mu , V, T\), nammely chemical potential, volume, and temperature, respectively. The first law of thermodynamics is then
$$ dE = TdS - pdV + \mu dN~, $$

Copyright information

© The Author(s), under exclusive license to Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Arnold-Sommerfeld-CenterLudwig-Maximilians-UniversitaetMunichGermany
  2. 2.Institute for Theoretical PhysicsUtrecht UniversityUtrechtThe Netherlands

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