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

@inproceedings{Kar2022ClassesOE, title={Classes of exact solutions for the massless Dirac particle in the \$C\$-metric}, author={Priyasri Kar}, year={2022} }

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.

## One Citation

### Bi-parametric $su(1,1)$ structure of the Heun class of equations and quasi-polynomial solutions

- Mathematics
- 2020

A new bi-parametric $su(1,1)$ algebraization of the Heun class of equations is explored. This yields additional quasi-polynomial solutions of the form $\{z^{\alpha}P_N(z): \ \alpha \in \mathbb{C}, \…

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