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

2022/01/18 by Priyasri Kar, Kar, Priyasri
Mathematics · Physics and Astronomy · #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Mathematical Physics (math-ph) #gr-qc #math-ph #math.MP

paper · pdf · doi:10.48550/arxiv.2201.06976

18 pages

arxiv created 2022/01/18 · arxiv updated 2022/01/19

Abstract

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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