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Holographic Lattices and Numerical Techniques

2017/12/02 by Tomas Andrade, Tomás Andrade, Andrade, Tomas · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #High Energy Physics - Theory (hep-th) #Pulsars and Gravitational Waves Research #gr-qc #hep-th

paper · pdf · doi:10.48550/arxiv.1712.00548

Lecture notes for a course given at the "School on Numerical Methods in Gravity and Holography", held at Universidad de Concepcion, Chile, in November 2017. 20 pages, 9 figures. Ancillary .nb files available upon request. v2: acknowledgements added

openalex publication_date 2017/12/02 · arxiv created 2017/12/12 · arxiv updated 2017/12/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In these notes we discuss various methods relevant to the numerical construction of stationary black hole solutions in General Relativity with negative cosmological constant. We focus on solutions which explicitly break translational invariance along the boundary directions. Within the framework of the gauge/gravity duality, these can be interpreted as lattices. They have finite conductivity and thus help us move one step forward towards more realistic scenarios in holography.

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