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arXiv 1909.06968gr-qchep-thmath-phmath.MP
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Newman-Janis算法得到的旋转时空Klein-Gordon方程的可分性

Separability of the Klein-Gordon equation for rotating spacetimes obtained from Newman-Janis algorithm

Che-Yu Chen, Pisin Chen

摘要:

在文献中,Newman-Janis算法(NJA)已被广泛用于构造描述旋转黑洞的静态和轴对称时空。此外,最近的研究表明,通过NJA产生的一般静止和轴对称时空允许零测地线方程的完全可分性。事实上,如果其中一个度规函数是可加可分的,那么这个时空中的哈密顿-雅可比方程也是可分的。在这项工作中,我们进一步研究了可分离的Klein-Gordon方程在这样一个一般时空中的条件。讨论了NJA时空与文献中其他参数化轴对称时空的关系。

英文摘要:

In the literature, the Newman-Janis algorithm (NJA) has been widely used to construct stationary and axisymmetric spacetimes to describe rotating black holes. In addition, it has been recently shown that the general stationary and axisymmetric spacetime generated through NJA allows the complete separability of the null geodesic equations. In fact, the Hamilton-Jacobi equation in this spacetime is also separable if one of the metric functions is additively separable. In this work, we further study the conditions for a separable Klein-Gordon equation in such a general spacetime. The relations between the NJA spacetime and other parameterized axially symmetric spacetimes in the literature are also discussed.

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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