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Black hole entropy from graviton entanglement · Around

2012

Black hole entropy from graviton entanglement

Bianchi, Eugenio

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We argue that the entropy of a black hole is due to the entanglement of matter fields and gravitons across the horizon.

While the entanglement entropy of the vacuum is divergent because of UV correlations, we show that low-energy perturbations of the vacuum result in a finite change in the entanglement entropy.
The change is proportional to the energy flux through the horizon, and equals the change in area of the event horizon divided by 4 times Newton's constant - independently from the number and type of matter fields.
The phenomenon is local in nature and applies both to black hole horizons and to cosmological horizons, thus providing a microscopic derivation of the Bekenstein-Hawking area law.

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E. Bianchi, arxiv:1204.5122 [gr-qc] relativity.phys.lsu.edu/ilqgs/bianchi101612.pdf

Cited in the paper.

A. Ghosh, A. Perez, Phys.Rev.Lett

2011

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