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Related papers: Recovering the spacetime metric from a holographic…

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We prove that the metric of a general holographic spacetime can be reconstructed (up to an overall conformal factor) from distinguished spatial slices - "light-cone cuts" - of the conformal boundary. Our prescription is covariant and…

High Energy Physics - Theory · Physics 2017-07-26 Netta Engelhardt , Gary T. Horowitz

Holographic duality implies that the geometric properties of the gravitational bulk theory should be encoded in the dual field theory. These naturally include the metric on dimensions that become compact near the conformal boundary, as is…

High Energy Physics - Theory · Physics 2021-10-15 Sergio Hernández-Cuenca , Gary T. Horowitz

In this paper, the two reconstruction methods, light-cone cuts method and hole-ography, are combined to provide complete bulk metrics of locally AdS$_3$ static spacetimes. As examples, our method is applied to the geometries of pure…

High Energy Physics - Theory · Physics 2022-05-11 Daichi Takeda

Light-cone cuts have recently been proposed as a method to reconstruct the conformal metric of a holographic spacetime. We explore how additional information about the bulk geometry gets encoded in the structure of these light-cone cuts. In…

High Energy Physics - Theory · Physics 2018-01-17 Gabriel Trevino

We use the relation between certain diffeomorphisms in the bulk and Weyl transformations on the boundary to build the conformal structure of the metric in the presence of matter in the bulk. We explicitly obtain the conformal anomaly in any…

High Energy Physics - Theory · Physics 2013-10-23 Mozhgan Mir

Motivated by the holographic principle, within the context of the AdS/CFT Correspondence in the large t'Hooft limit, we investigate how the geometry of certain highly symmetric bulk spacetimes can be recovered given information of physical…

High Energy Physics - Theory · Physics 2011-02-16 Samuel Bilson

Motivated by the holographic principle, within the context of the AdS/CFT Correspondence in the large t'Hooft limit, we investigate how the geometry of certain highly symmetric bulk spacetimes can be recovered given information of physical…

High Energy Physics - Theory · Physics 2025-03-06 Samuel Bilson

We propose a method to reconstruct the metric and its arbitrary-order derivatives at the horizon for any static, planar-symmetric black hole, using an infinite set of discrete pole-skipping points in momentum space where the boundary…

High Energy Physics - Theory · Physics 2026-02-16 Zhenkang Lu , Cheng Ran , Shao-feng Wu

Most of the literature in the \emph{bulk reconstruction program} in holography focuses on recovering local bulk operators propagating on a quasilocal bulk geometry and the knowledge of the bulk geometry is always assumed or guessed. The…

High Energy Physics - Theory · Physics 2018-10-01 Shubho R. Roy , Debajyoti Sarkar

We discuss the holographic reconstruction of static thin bubble walls in BTZ black hole geometries. We consider two reconstruction prescriptions suggested in recent years: hole-ography and light-cone cuts, in the context of thin bubble…

High Energy Physics - Theory · Physics 2019-01-09 Philipp Burda , Ruth Gregory , Akash Jain

A holographic correspondence between data on horizon and space-time physics is investigated. We find similarities with the AdS/CFT correspondence, based on the observation that the optical metric near the horizon describes a Euclidean…

High Energy Physics - Theory · Physics 2014-11-18 Ivo Sachs , Sergey N. Solodukhin

We study a limit in which a relativistic CFT reduces to conformal quantum mechanics, and relate the partition functions of the two theories. When the initial CFT is holographic, our limit coincides with an ultra-spinning limit in the…

High Energy Physics - Theory · Physics 2024-02-20 Nick Dorey , Rishi Mouland

Holographic bounds have been derived using explicitly gravitational arguments. Motivated by explicit constructions of bulk wavepackets from observables in the boundary CFT, we derive a holographic bound in the context of the gauge/gravity…

High Energy Physics - Theory · Physics 2012-09-17 Michael Gary

We study the scattering rigidity problem in Lorentzian geometry: recovery of a Lorentzian metric from the scattering relation known on a lateral timelike boundary. We show that one can recover the jet of the metric up to a gauge…

Differential Geometry · Mathematics 2024-10-11 Plamen Stefanov

This paper shows that the bulk metric of a planar/spherically/hyperbolically symmetric asymptotically anti-de Sitter static black brane/hole can be reconstructed from its boundary frequency 2-point correlation functions of two probe scalar…

High Energy Physics - Theory · Physics 2025-12-03 Bo-Wen Fan , Run-Qiu Yang

We investigate the problem of bulk metric reconstruction in holography by leveraging the inverse scattering framework applied to boundary two-point correlation functions. We generalize our previous work of scalar field and show that…

High Energy Physics - Theory · Physics 2025-11-25 Bo-Wen Fan , Run-Qiu Yang

We consider the problem of prescribing the Gaussian and the geodesic curvatures of a compact surface with boundary by a conformal deformation of the metric. We derive some existence results using a variational approach, either by…

Analysis of PDEs · Mathematics 2019-01-29 Rafael López-Soriano , Andrea Malchiodi , David Ruiz

In this paper we consider the problem of recovering the conformal factor in a conformal class of Riemannian metrics from the boundary measurement of one wave field. More precisely, using boundary control operators, we derive an explicit…

Analysis of PDEs · Mathematics 2015-03-30 Sebastian Acosta

We investigate an analytical framework for reconstructing bulk geometries from pole-skipping data. Previously, this method enabled the recursive recovery of near-horizon metric derivatives in static, planar-symmetric black holes. Building…

General Relativity and Quantum Cosmology · Physics 2026-04-21 Cheng Ran , Zhenkang Lu , Shao-Feng Wu

We provide a formula to reconstruct bulk spacetime metrics inside black holes by the time dependence of complexity in the dual quantum field theory, based on the complexity=volume (CV) conjecture in the holographic duality.

High Energy Physics - Theory · Physics 2021-10-13 Koji Hashimoto , Ryota Watanabe
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