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首页> 外文期刊>Physical review, D >Charged black strings and black branes in Lovelock theories
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Charged black strings and black branes in Lovelock theories

机译：Lovelock理论中带电的黑弦和黑皮

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It is well known that the Reissner-Norstrom solution of Einstein-Maxwell theory cannot be cylindrically extended to a higher dimension, as with the black hole solutions in vacuum. In this paper we show that this result is circumvented in Lovelock gravity. We prove that the theory containing only the quadratic Lovelock term, the Gauss-Bonnet term, minimally coupled to a U ( 1 ) field, admits homogeneous black string and black brane solutions characterized by the mass, charge and volume of the flat directions. We also show that theories containing a single Lovelock term of order n in the Lagrangian coupled to a ( p ? 1 )-form field admit simple oxidations only when n equals p , giving rise to new, exact, charged black branes in higher curvature gravity. For general relativity this stands for a Lagrangian containing the Einstein-Hilbert term coupled to a massless scalar field, and no-hair theorems in this case forbid the existence of black branes. In all these cases the field equations acquire an invariance under a global scaling scale transformation of the metric. As explicit examples we construct new magnetically charged black branes for cubic Lovelock theory coupled to a Kalb-Ramond field in dimensions ( 3 m + 2 ) + q , with m and q integers, and the latter denoting the number of extended flat directions. We also construct dyonic solutions in quartic Lovelock theory in dimension ( 4 m + 2 ) + q .
机译：众所周知，爱因斯坦-麦克斯韦理论的Reissner-Norstrom解不能像在真空中的黑洞解决方案一样，以圆柱状扩展到更高的尺寸。在本文中，我们证明了在洛夫洛克引力中可以绕开该结果。我们证明，仅包含二次Lovelock项（高斯-邦纳项）且与U（1）场最小耦合的理论接受了均一的黑弦和黑糠溶液，其特征在于平坦方向的质量，电荷和体积。我们还表明，在拉格朗日方程中包含单个n阶Lovelock项的理论与（p？1）形式的场耦合，仅当n等于p时才允许进行简单氧化，从而在曲率重力更高的情况下产生新的，精确的，带电的黑色黄铜。对于广义相对论，这表示拉格朗日方程，其中包含与无质量标量场耦合的爱因斯坦-希尔伯特项，在这种情况下，无毛定理禁止存在黑色谱线。在所有这些情况下，场方程在度量的全局缩放比例转换下获得不变性。作为明确的示例，我们为立方Lovelock理论构造了新的带电荷的黑色黄铜，耦合到尺寸为（3 m + 2）+ q的Kalb-Ramond场，其中m和q整数，后者表示扩展平面方向的数量。我们还用（4 m + 2）+ q维的四次Lovelock理论构造了重音解。

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