Duality of Ryu-Takayanagi surfaces inside and outside the horizon

Fuente: arXiv
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Main Authors: Guo, Wu-zhong, Xu, Jin
Format: Preprint
Published: 2025
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author Guo, Wu-zhong
Xu, Jin
author_facet Guo, Wu-zhong
Xu, Jin
contents We study the Ryu-Takayanagi (RT) surfaces associated with timelike subregions in static spacetimes with a horizon. It is possible to find the analytical continuation of the RT surfaces that can extend into the horizon, allowing us to probe the interior of the black hole. The horizon typically divides the RT surface into two distinct parts. We demonstrate that the area of the surface inside the horizon can be reconstructed from the contributions of the surfaces outside the horizon, along with additional RT surfaces for spacelike subregions that are causally related to the timelike subregions. This result provides a concrete realization of black hole complementarity at the level of classical metric, where the spacetime in the black hole interior can be reconstructed from the degrees of freedom outside the horizon.
format Preprint
id arxiv_https___arxiv_org_abs_2502_16774
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Duality of Ryu-Takayanagi surfaces inside and outside the horizon
Guo, Wu-zhong
Xu, Jin
High Energy Physics - Theory
General Relativity and Quantum Cosmology
We study the Ryu-Takayanagi (RT) surfaces associated with timelike subregions in static spacetimes with a horizon. It is possible to find the analytical continuation of the RT surfaces that can extend into the horizon, allowing us to probe the interior of the black hole. The horizon typically divides the RT surface into two distinct parts. We demonstrate that the area of the surface inside the horizon can be reconstructed from the contributions of the surfaces outside the horizon, along with additional RT surfaces for spacelike subregions that are causally related to the timelike subregions. This result provides a concrete realization of black hole complementarity at the level of classical metric, where the spacetime in the black hole interior can be reconstructed from the degrees of freedom outside the horizon.
title Duality of Ryu-Takayanagi surfaces inside and outside the horizon
topic High Energy Physics - Theory
General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2502.16774