arXiv 1503.042812015-03-14hep-th

非线性电磁场支撑的Gauss-Bonnet黑洞

Gauss-Bonnet black holes supported by a nonlinear electromagnetic field

D. Rubiera-Garcia

备注：: 13 pages; to appear in Phys. Rev. D
发表信息：: Phys. Rev. D 91 (2015) 064065
DOI：: 10.1103/PhysRevD.91.064065

摘要：

我们研究了$D$维带电静态球对称黑洞解的高斯Bonnet理论耦合到非线性电动力学定义为任意函数的字段不变和约束的几个物理条件。这些解决方案的特点是在质量参数$m$，电磁能量$\varepsilon$和高斯-邦纳参数$l_α^2$。我们发现，这些解决方案的一个一般特点是，度规表现在不同的方式在$D=5$和$D>5$时空维度。此外，根据它们是否处处定义或显示分支奇点（取决于（$m, \varepsilon, l_α^2$）），这样的解分为两类。我们定性描述的结构，包括在这种情况下，这在很大程度上扩展了在文献中获得的结果为几个特定的家庭的非线性电动力学。一个明确的新的例子，说明我们的结果，介绍。最后，我们允许非零值的宇宙学常数长度$l_Λ^2$，并研究存在的新结构，在渐近反德西特和德西特空间。

英文摘要：

We study $D$-dimensional charged static spherically symmetric black hole solutions in Gauss-Bonnet theory coupled to nonlinear electrodynamics defined as arbitrary functions of the field invariant and constrained by several physical conditions. These solutions are characterized in terms of the mass parameter $m$, the electromagnetic energy $\varepsilon$ and the Gauss-Bonnet parameter $l_α^2$. We find that a general feature of these solutions is that the metric behaves in a different way in $D=5$ and $D>5$ space-time dimensions. Moreover, such solutions split into two classes, according to whether they are defined everywhere or show branch singularities, depending on ($m, \varepsilon, l_α^2$). We describe qualitatively the structures comprised within this scenario, which largely extends the results obtained in the literature for several particular families of nonlinear electrodynamics. An explicit new example, illustrative of our results, is introduced. Finally we allow non-vanishing values of the cosmological constant length $l_Λ^2$, and study the existence of new structures, in both asymptotically Anti-de Sitter and de Sitter spaces.

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