Geometric Inequalities for Quasi-Local Masses

  title={Geometric Inequalities for Quasi-Local Masses},
  author={Aghil Alaee and Marcus A Khuri and Shing-Tung Yau},
  journal={arXiv: Differential Geometry},
In this paper lower bounds are obtained for quasi-local masses in terms of charge, angular momentum, and horizon area. In particular we treat three quasi-local masses based on a Hamiltonian approach, namely the Brown-York, Liu-Yau, and Wang-Yau masses. The geometric inequalities are motivated by analogous results for the ADM mass. They may be interpreted as localized versions of these inequalities, and are also closely tied to the conjectured Bekenstein bounds for entropy of macroscopic bodies… 

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    Transactions of the American Mathematical Society
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