Abstract
Understanding the fate of semi-classical black hole solutions at very late times is one of the most important open questions in quantum gravity. In this paper, we provide a path integral definition of the volume of the black hole interior and study it at arbitrarily late times for black holes in various models of two-dimensional gravity. Because of a novel universal cancellation between the contributions of the semi-classical black hole spectrum and some of its non-perturbative corrections, we find that, after a linear growth at early times, the length of the interior saturates at a time, and towards a value, that is exponentially large in the entropy of the black hole. This provides a non-perturbative test of the complexity equals volume proposal since complexity is also expected to plateau at the same value and at the same time.
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Iliesiu, L.V., Mezei, M. & Sárosi, G. The volume of the black hole interior at late times. J. High Energ. Phys. 2022, 73 (2022). https://doi.org/10.1007/JHEP07(2022)073
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DOI: https://doi.org/10.1007/JHEP07(2022)073