Classes of exact solutions for the massless Dirac particle in the $C$-metric
General Relativity and Quantum Cosmology
2022-01-19 v1 Mathematical Physics
math.MP
Abstract
The massless Dirac particle in the -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 algebraic structures of the GHE.
Keywords
Cite
@article{arxiv.2201.06976,
title = {Classes of exact solutions for the massless Dirac particle in the $C$-metric},
author = {Priyasri Kar},
journal= {arXiv preprint arXiv:2201.06976},
year = {2022}
}
Comments
18 pages