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arXiv 1208.1385gr-qc
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具有Liouville势的Einstein-Maxwell标量理论的黑膜解

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

S. Mignemi

摘要:

研究了与指数势标量非极小耦合的三参数Einstein-Maxwell模型的黑膜解的整体性质。这个模型的黑膜解决方案最近进行了研究,因为它们的相关性全息和AdS/凝聚态对应。我们对所有可能的正则解进行了分类,并证明了它们只存在于参数值的有限范围内,并且它们的渐近行为要么打破了超标度不变性,要么具有域壁的形式。我们还在史瓦西坐标中给出了一些精确解。

英文摘要:

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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