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arXiv · 1208.1385

Black brane solutions of Einstein-Maxwell-scalar theory with Liouville potential

S. Mignemi
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Abstract

We investigate the global properties of black brane solutions of a three-parameter Einstein-Maxwell model nonminimally coupled to a scalar with exponential potential. The black brane solutions of this model have recently been investigated because of their relevance for holography and for the AdS/condensed matter correspondence. We classify all the possible regular solutions and show that they exist only for a limited range of values of the parameters and that their asymptotic behavior either breaks hyperscaling invariance or has the form of a domain wall. We also write down some exact solutions in Schwarzschild coordinates.

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S. Mignemi. 2012-08-07. Black brane solutions of Einstein-Maxwell-scalar theory with Liouville potential. https://doi.org/10.1142/s0217751x13500802

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