Thermoelectric Transport Coefficients from Charged Solv and Nil Black Holes

In the present work we study charged black hole solutions of the Einstein-Maxwell action that have Thurston geometries on its near horizon region. In particular we find solutions with charged Solv and Nil geometry horizons. We also find Nil black holes with hyperscaling violation. For all our soluti...

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Bibliographic Details
Published in:arXiv.org 2017-12
Main Authors: Arias, Raúl E, Ignacio Salazar Landea
Format: Article
Language:English
Subjects:
Black holes
Field theory
Insulators
Thermoelectricity
Transport properties
Online Access:Get full text
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Summary:In the present work we study charged black hole solutions of the Einstein-Maxwell action that have Thurston geometries on its near horizon region. In particular we find solutions with charged Solv and Nil geometry horizons. We also find Nil black holes with hyperscaling violation. For all our solutions we compute the thermoelectric DC transport coefficients of the corresponding dual field theory. We find that the Solv and Nil black holes without hyperscaling violation are dual to metals while those with hyperscaling violation are dual to insulators.
ISSN:2331-8422
DOI:10.48550/arxiv.1708.04335