Abstract
The Schwarzschild singularity is known to be classically unstable. We demonstrate a simple holographic consequence of this fact, focusing on a perturbation that is uniform in boundary space and time. Deformation of the thermal state of the dual CFT by a relevant operator triggers a nonzero temperature holographic renormalization group flow in the bulk. This flow continues smoothly through the horizon and, at late interior time, deforms the Schwarzschild singularity into a more general Kasner universe. We show that the deformed near-singularity, trans-horizon Kasner exponents determine specific non-analytic corrections to the thermal correlation functions of heavy operators in the dual CFT, in the analytically continued ‘near-singularity’ regime.
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Frenkel, A., Hartnoll, S.A., Kruthoff, J. et al. Holographic flows from CFT to the Kasner universe. J. High Energ. Phys. 2020, 3 (2020). https://doi.org/10.1007/JHEP08(2020)003
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DOI: https://doi.org/10.1007/JHEP08(2020)003