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Wheeler-DeWitt states of the AdS-Schwarzschild interior

Published version
Peer-reviewed

Repository DOI


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Authors

Hartnoll, SA 

Abstract

jats:titleAjats:scbstract</jats:sc> </jats:title>jats:pWe solve the Wheeler-DeWitt equation for the planar AdS-Schwarzschild interior in a minisuperspace approximation involving the volume and spatial anisotropy of the interior. A Gaussian wavepacket is constructed that is peaked on the classical interior solution. Simple observables are computed using this wavepacket, demonstrating the freedom to a choose a relational notion of ‘clock’ in the interior and characterizing the approach to the spacelike singularity. The Wheeler-DeWitt equation may be extended out through the horizon, where it describes the holographic renormalization group flow of the black hole exterior. This amounts to the Hamilton-Jacobi evolution of the metric component jats:italicg</jats:italic>jats:subjats:italictt</jats:italic></jats:sub> from positive interior values to negative exterior values. The interior Gaussian wavepacket is shown to evolve into the Lorentizan partition function of the boundary conformal field theory over a microcanonical energy window.</jats:p>

Description

Keywords

AdS-CFT Correspondence, Black Holes, Spacetime Singularities

Journal Title

Journal of High Energy Physics

Conference Name

Journal ISSN

1029-8479
1029-8479

Volume Title

Publisher

Springer Science and Business Media LLC