Deformed AdS$$_4$$ 4 –Reissner–Nordström black branes and shear viscosity-to-entropy density ratio

Abstract A family of deformed AdS$$_4$$ 4 –Reissner–Nordström black branes, governed by a free parameter, is derived using the ADM formalism, in the context of the membrane paradigm. Their new event horizons, the Hawking temperature and other aspects are scrutinized. AdS/CFT near-horizon methods are...

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Bibliographic Details
Main Authors: A. J. Ferreira-Martins, P. Meert, R. da Rocha
Format: Article
Language:English
Published: SpringerOpen 2019-08-01
Series:European Physical Journal C: Particles and Fields
Online Access:http://link.springer.com/article/10.1140/epjc/s10052-019-7167-8
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Summary:Abstract A family of deformed AdS$$_4$$ 4 –Reissner–Nordström black branes, governed by a free parameter, is derived using the ADM formalism, in the context of the membrane paradigm. Their new event horizons, the Hawking temperature and other aspects are scrutinized. AdS/CFT near-horizon methods are then implemented to compute the shear viscosity-to-entropy ratio for the deformed AdS$$_4$$ 4 –Reissner–Nordström metric. The Killing equation is shown to yield new values for the free parameter and the shear viscosity-to-entropy ratio is used to derive a reliable range for the tidal charge.
ISSN:1434-6044
1434-6052