论文标题
$ 2+1 $ EINSTEIN-KLEIN-GORDON黑洞通过重力去耦
$2+1$ Einstein-Klein-Gordon black holes by gravitational decoupling
论文作者
论文摘要
在这项工作中，我们研究了重力解耦框架中的2+1爱因斯坦 - 克莱因 - 戈登系统。我们将通用物质解耦扇区与真实的标量字段相关联，因此我们可以获得一个允许关闭微分方程系统的约束。该约束对应于涉及解耦函数和种子扇区度量的微分方程，并且将独立于标量场本身。我们表明，当方程允许分析解决方案，标量场和自相互作用势可以直接获得。我们发现，在所考虑的情况下，仅对于对应于涉及参数的限制值的某些特定情况，可以将潜力作为标量场的显式函数。
In this work we study the 2+1 Einstein-Klein-Gordon system in the framework of Gravitational Decoupling. We associate the generic matter decoupling sector with a real scalar field so we can obtain a constraint which allows to close the system of differential equations. The constraint corresponds to a differential equation involving the decoupling functions and the metric of the seed sector and will be independent of the scalar field itself. We show that when the equation admits analytical solutions, the scalar field and the self-interacting potential can be obtained straightforwardly. We found that, in the cases under consideration, it is possible to express the potential as an explicit function of the scalar field only for certain particular cases corresponding to limiting values of the parameters involved.
