多组分各向异性流体模型中黑膜解的类似
On analogues of black brane solutions in the model with multicomponent anisotropic fluid
摘要：
给出了m分量各向异性流体模型的一类具有视界的球对称解。度量定义在一个流形上，该流形包含n-1个Ricci平坦“内部”空间的乘积。任何第s个分量的状态方程由属于R^{n + 1}的向量U^s定义。解由模函数H_s控制，该模函数H_s服从具有一定边界条件的非线性微分方程。考虑了模型中具有反对称形式的黑膜解的模拟。给出了一个模拟M_2-M_5位形（在D =11超引力中）对应于李代数A_2的解的例子。
英文摘要：
A family of spherically symmetric solutions with horizon in the model with m-component anisotropic fluid is presented. The metrics are defined on a manifold that contains a product of n-1 Ricci-flat "internal" spaces. The equation of state for any s-th component is defined by a vector U^s belonging to R^{n + 1}. The solutions are governed by moduli functions H_s obeying non-linear differential equations with certain boundary conditions imposed. A simulation of black brane solutions in the model with antisymmetric forms is considered. An example of solution imitating M_2-M_5 configuration (in D =11 supergravity) corresponding to Lie algebra A_2 is presented.
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