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

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.

17 pages, plain TeX, 1 figure; some errors have been corrected and the discussion of the results modified accordingly

References in corpus (3)

• Hidden Fermi surfaces in compressible states of gauge-gravity duality
• Black brane solutions and their solitonic extremal limit in Einstein-scalar gravity
• Black hole solutions of dimensionally reduced Einstein-Gauss-Bonnet gravity

Cited by in corpus (1)

• Accelerating cosmologies in an integrable model with noncommutative minisuperspace variables