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arxiv: 1107.1320 · v3 · submitted 2011-07-07 · 🌀 gr-qc · hep-th

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Black hole entropy and isolated horizons thermodynamics

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classification 🌀 gr-qc hep-th
keywords blackholeensemblesentropyhorizonhorizonsisolatedplanck
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We present a statistical mechanical calculation of the thermodynamical properties of (non rotating) isolated horizons. The introduction of Planck scale allows for the definition of an universal horizon temperature (independent of the mass of the black hole) and a well-defined notion of energy (as measured by suitable local observers) proportional to the horizon area in Planck units. The microcanonical and canonical ensembles associated with the system are introduced. Black hole entropy and other thermodynamical quantities can be consistently computed in both ensembles and results are in agreement with Hawking's semiclassical analysis for all values of the Immirzi parameter.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Hawking radiation from black holes in 2+1 dimensions

    gr-qc 2026-04 unverdicted novelty 6.0

    Black hole horizons in 2+1D are composed of quantized length quanta 8π ℓ_P n, producing entropy near the Bekenstein-Hawking value and a local Hawking spectrum via a length ensemble.

  2. Hawking radiation from black holes in 2+1 dimensions

    gr-qc 2026-04 unverdicted novelty 3.0

    In 2+1 dimensions, black hole horizons are quantized into lengths 8π ℓ_P n, from which a length ensemble directly yields the Hawking blackbody spectrum with Tolman-modified temperature.