论文标题
带电磁场的五维旋路溶液中带电标量场的溶液
Solutions of a charged scalar field in five-dimensional helicoid solution with electromagnetic field
论文作者
论文摘要
我们在Nutku-ghezelbash-kumar度量的背景下研究了一个带电的标量场，该场均通过以非平凡的方式向Nutku内而螺旋型指标获得的时间坐标获得。 klein-gordon方程的角部分可以写为双汇合heun方程。径向方程不能以其一般形式的已知函数来求解。但是，在某些特殊情况下，径向方程也可以明确地写成双汇合HEUN方程。我们从数值上研究完整的径向方程，并观察到电磁场参数定义了径向坐标范围的有效截止。最后，我们获得具有近似值的准脱离溶液。
We study a charged and massive scalar field in the background of the Nutku-Ghezelbash-Kumar metric which is obtained by the addition of a time coordinate to the Nutku helicoid metric in a non-trivial way. The angular part of the Klein-Gordon equation can be written as a double confluent Heun equation. The radial equation cannot be solved in terms of a known function in its general form. However, in some special cases, the radial equation can also be written explicitly as a double confluent Heun equation. We study the full radial equation numerically and observe that the electromagnetic field parameter defines an effective cut-off on the range of the radial coordinate. Finally, we obtain a quasi-exact solution with an approximation.
