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arXiv · 1905.00464

On Reflectivity of Quantum Black Hole Horizons

Naritaka Oshita·Qingwen Wang·Niayesh Afshordi
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Abstract

We study the reflectivity of quantum black hole (BH) horizons using detailed balance and fluctuation-dissipation theorem, finding a universal flux reflectivity given by the Boltzmann factor ${\mathcal R} = \exp\left(-{\hbar |\omega| \over k T_{\rm H}}\right)$, where $\omega$ is frequency in the horizon frame and $T_{\rm H}$ is the Hawking temperature. This implies CP-symmetry (or $\bf{RP}^3$ topology) of the extended BH spacetime. We then briefly discuss related physical implications: We predict echoes in the ringdown of Kerr BHs, but they do not exhibit ergoregion instability. The viscosity in the membrane paradigm is modified to $\eta = \frac{c^3}{16\pi G}\tanh\left({\hbar |\omega| \over 4 k T_{\rm H}}\right)$, only approaching General Relativistic value at high frequencies.

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Naritaka Oshita, Qingwen Wang, Niayesh Afshordi. 2019-05-01. On Reflectivity of Quantum Black Hole Horizons. https://doi.org/10.1088/1475-7516%2F2020%2F04%2F016

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