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arXiv 1401.4479gr-qc
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Horndeski方案中存在电场时渐近局部AdS和平黑洞

Asymptotically locally AdS and flat black holes in the presence of an electric field in the Horndeski scenario

Adolfo Cisterna, Cristián Erices

摘要:

渐近局部AdS和渐近平坦的黑洞解的Horndeski行动的一个特定情况下被发现。该作用量包含具有宇宙学常数的Einstein-Hilbert项、具有由Einstein张量给出的非最小动力学耦合的实标量场、最小动力学耦合和Maxwell项。没有标量势。该解具有与质量和电荷有关的两个积分常数。所有维度的解决方案。当最小动力学耦合消失而宇宙学常数存在时,发现了一类新的渐近局部平坦球对称黑洞。在这种情况下,我们得到一个代表电宇宙的解。无穷远处的电场仅由$Λ$支持。当宇宙学常数为零时,黑洞是渐近平坦的。

英文摘要:

Asymptotically locally AdS and asymptotically flat black hole solutions are found for a particular case of the Horndeski action. The action contains the Einstein-Hilbert term with a cosmological constant, a real scalar field with a non minimal kinetic coupling given by the Einstein tensor, the minimal kinetic coupling and the Maxwell term. There is no scalar potential. The solution has two integration constants related with the mass and the electric charge. The solution is given for all dimensions. A new class of asymptotically locally flat spherically symmetric black holes is found when the minimal kinetic coupling vanishes and the cosmological constant is present. In this case we get a solution which represents an electric Universe. The electric field at infinity is only supported by $Λ$. When the cosmological constant vanishes the black hole is asymptotically flat.

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