On the localisation of four-dimensional brane-world black holes: II. The general case
On the localisation of four-dimensional brane-world black holes: II. The general case
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四维膜世界黑洞的局域化：II．
DOI：
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发表时间：
2015
期刊：
影响因子：
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通讯作者：
T. Pappas
中科院分区：
文献类型：
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作者：
P. Kanti;N. Pappas;T. Pappas
我们进行了全面的分析，试图找到解析五维的标量场理论，定位在膜上，黑洞的解决方案。扩展以前的分析，我们假设一个广义的Vaidya anomaly的五维度量张量，允许一个依赖于时间的，非平凡的配置文件的质量函数的批量坐标和偏离过度限制Schwarzschild型解决方案的膜。为了支持这样的解决方案，我们研究了各种理论，包括单个或多个标量场，正则或非正则动力学项，最小或非最小耦合到重力。我们证明，对于这样一个度量的antennas和一个精心选择的能量动量张量，这是非各向同性的五个维度，解决方案，有一个史瓦西-（反）德西特或Reissner-Nordstrom类型的解决方案的形式确实出现。然而，质量函数沿体坐标沿着的结果轮廓，当允许时，不是用于消除体奇异性的正确轮廓。
We perform a comprehensive analysis of a number of scalar field theories in an attempt to find analytically five-dimensional, localised-on-the-brane, black-hole solutions. Extending a previous analysis, we assume a generalised Vaidya ansatz for the five-dimensional metric tensor that allows for a time-dependent, non-trivial profile of the mass function in terms of the bulk coordinate and a deviation from the over-restricting Schwarzschild-type solution on the brane. In order to support such a solution, we study a variety of theories including single or multiple scalar fields, with canonical or non-canonical kinetic terms, minimally or non-minimally coupled to gravity. We demonstrate that for such a metric ansatz and for a carefully chosen energy-momentum tensor which is non-isotropic in five dimensions, solutions that have the form of a Schwarzschild–(anti)de Sitter or Reissner–Nordstrom type of solution do emerge. However, the resulting profile of the mass function along the bulk coordinate, when allowed, is not the correct one for eliminating bulk singularities.