Criticality and surface tension in rotating horizon thermodynamics

@article{Hansen2016CriticalityAS,
  title={Criticality and surface tension in rotating horizon thermodynamics},
  author={Devin Hansen and David Kubizň{\'a}k and Robert B. Mann},
  journal={Classical and Quantum Gravity},
  year={2016},
  volume={33}
}
We study a modified horizon thermodynamics and the associated criticality for rotating black hole spacetimes. Namely, we show that under a virtual displacement of the black hole horizon accompanied by an independent variation of the rotation parameter, the radial Einstein equation takes a form of a ‘cohomogeneity two’ horizon first law, δ E = T δ S + Ω δ J − σ δ A , where E and J are the horizon energy (an analogue of the Misner–Sharp mass) and the horizon angular momentum, Ω is the horizon… 
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