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arXiv · 1712.02978

Embolic aspects of black hole entropy

Nikolaos Kalogeropoulos
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Abstract

We attempt to provide a mesoscopic treatment of the origin of black hole entropy in (3+1)-dimensional spacetimes. We treat the case of horizons having space-like sections $Σ$ which are topological spheres, following Hawking's and the Topological Censorship theorems. We use the injectivity radius of the induced metric on $Σ$ to encode the linear dimensions of the elementary cells giving rise to such entropy. We use the topological entropy of $Σ$ as the fundamental quantity expressing the complexity of $Σ$ on which its entropy depends. We point out the significance, in this context, of the Berger and Croke isoembolic inequalities.

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Nikolaos Kalogeropoulos. 2018-07-05. Embolic aspects of black hole entropy. https://doi.org/10.1142/s021988781850175x

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