论文标题

$ c $ - metric中无质量狄拉克粒子的精确解决方案类别

Classes of exact solutions for the massless Dirac particle in the $C$-metric

论文作者

Kar, Priyasri

论文摘要

研究了$ c $ metric中的无质量狄拉克粒子,代表均匀加速的黑洞的外部重力场。获得了(Quasi)对径向方程的径向和极性部分的类别,每个溶液都等同于通用Heun方程〜(GHE),以利用GHE的基础$ SU(1,1)$代数结构。

The massless Dirac particle in the $C$-metric, representing the exterior gravitational field of a uniformly accelerating black hole, is studied. Classes of (quasi-)polynomial solutions to the radial and the polar parts of the Dirac equation, each of which is equivalent to the general Heun equation~(GHE), are obtained exploiting the underlying $su(1,1)$ algebraic structures of the GHE.

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