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arXiv 2011.02515gr-qchep-th
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矢量-张量 Horndeski 理论中的磁性和电黑洞

Magnetic and Electric Black Holes in the Vector-Tensor Horndeski Theory

Y. Verbin

AI总结:

本文在矢量-张量 Horndeski 引力中构造了带磁荷黑洞的精确解析解,发现其场方程在特定参数化下呈线性,并全面分析了正负耦合常数下黑洞的独特性质及粒子轨迹,最后与电黑洞进行了对比。

摘要:

我们在矢量-张量 Horndeski 引力中构造了带磁荷黑洞的精确解,并讨论了它们的主要特征。与类似的电情况不同,在一种简单(相当标准)的度规张量参数化下,场方程是线性的,并且即使加入宇宙学常数,它们也能被解析求解。这些解以超几何函数的形式给出,这使得对黑洞性质的分析相对直接。这些黑洞的一些方面相当普通,例如对于给定质量存在具有最大磁荷的极端构型,或者对于给定电荷存在具有最大温度的质量;但其他方面则有些出乎意料,例如存在具有排斥性引力场的黑洞。我们对非最小耦合常数的两种符号都进行了分析,并在这两种情况下都找到了黑洞解,但它们之间存在显著差异。最突出的差异在于,负耦合常数对应的黑洞具有一个曲率奇点的球面,而不是单个点。另一方面,在这类黑洞周围产生的引力场总是吸引的。此外,对于足够小的磁荷和负耦合常数,不存在极端黑洞,并且所有磁黑洞都只有一个视界。另外,我们还研究了这些磁黑洞周围光线以及中性或带电的大质量粒子的轨迹。最后,我们将这些黑洞的主要特征与其电对应物进行了比较,补充了一些以前未讨论过的方面,如温度、粒子轨迹以及带电 Horndeski 黑洞的光线偏折。

英文摘要:

We construct exact solutions of magnetically charged black holes in the vector-tensor Horndeski gravity and discuss their main features. Unlike the analogous electric case, the field equations are linear in a simple (quite standard) parametrization of the metric tensor and they can be solved analytically even when a cosmological constant is added. The solutions are presented in terms of hypergeometric functions which makes the analysis of the black hole properties relatively straightforward. Some of the aspects of these black holes are quite ordinary like the existence of extremal configurations with maximal magnetic charge for a given mass, or the existence of a mass with maximal temperature for a given charge, but others are somewhat unexpected, like the existence of black holes with a repulsive gravitational field. We perform our analysis for both signs of the non-minimal coupling constant and find black hole solutions in both cases but with significant differences between them. The most prominent difference is the fact that the black holes for the negative coupling constant have a spherical surface of curvature singularity rather than a single point. On the other hand, the gravitational field produced around this kind of black holes is always attractive. Also, for small enough magnetic charge and negative coupling constant, extremal black holes do not exist and all magnetic black holes have a single horizon. In addition we study the trajectories around these magnetic black holes for light as well as massive particles either neutral or electrically charged. Finally, we compare the main features of these black holes with their electric counterparts, adding some aspects that have not been discussed before, like temperature, particle trajectories and light deflection by electrically charged Horndesky black holes.

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