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arXiv 2304.04791hep-th
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爱因斯坦-麦克斯韦-膨胀子黑洞的质量与力关系

Mass And Force Relations For Einstein-Maxwell-Dilaton Black Holes

Sera Cremonini, Mirjam Cvetic, Christopher N. Pope, Aritra Saha

AI总结:

本文研究爱因斯坦-麦克斯韦-膨胀子理论中极值双子黑洞的质量与力关系,利用相同极值黑洞间长程力为零推导出质量满足的一阶微分方程,并证明非相同极值黑洞间的长程力在a>1时为排斥、a<1时为吸引,且与结合能符号及质量曲面的凸凹性相关。

摘要:

我们研究了爱因斯坦-麦克斯韦-膨胀子理论中极值双子静态黑洞的各种性质。利用两个相同极值黑洞之间的长程力始终为零这一事实,我们得到了一个关于黑洞质量以其电荷和磁荷表示的一阶常微分方程。尽管对于膨胀子与麦克斯韦场耦合强度a的一般取值,该方程似乎无法显式求解,但它仍然提供了一种刻画黑洞质量和标量荷的有力方法。我们利用这些表达式推导出关于两个非相同极值黑洞之间长程力的一般结果。特别地,我们论证了当a>1时该力为排斥力,当a<1时该力为吸引力(在中间的BPS情形a=1时该力为零)。力的符号还与极值黑洞之间结合能的符号相关,并且与刻画极值质量作为电荷函数的曲面的凸性或凹性相关。我们的工作部分受到排斥力猜想的推动,以及非相同态之间的长程力能否为沼泽地(Swampland)问题提供新认识这一问题的推动。

英文摘要:

We investigate various properties of extremal dyonic static black holes in Einstein-Maxwell-Dilaton theory. Using the fact that the long-range force between two identical extremal black holes always vanishes, we obtain a simple first-order ordinary differential equation for the black hole mass in terms of its electric and magnetic charges. Although this equation appears not to be solvable explicitly for general values of the strength a of the dilatonic coupling to the Maxwell field, it nevertheless provides a powerful way of characterising the black hole mass and the scalar charge. We make use of these expressions to derive general results about the long-range force between two non-identical extremal black holes. In particular, we argue that the force is repulsive whenever a>1 and attractive whenever a<1 (it vanishes in the intermediate BPS case a=1). The sign of the force is also correlated with the sign of the binding energy between extremal black holes, as well as with the convexity or concavity of the surface characterizing the extremal mass as a function of the charges. Our work is motivated in part by the Repulsive Force Conjecture and the question of whether long range forces between non-identical states can shed new light on the Swampland.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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