Relativistic regularized kappa distributions
High Energy Astrophysical Phenomena
2025-05-19 v1
Abstract
The special relativistic generalization of isotropic regularized kappa distributions is derived and compared to that of the original Olbertian (or standard) kappa distributions. It is demonstrated that for the latter the kappa parameter is even stronger limited than in the non-relativistic case, while for the former all positive kappa values remain possible. After a derivation of the non-relativistic limits, the pressures of the distributions are studied as a specific case of the moments of both the relativistic standard and regularized kappa distributions.
Keywords
Cite
@article{arxiv.2505.11112,
title = {Relativistic regularized kappa distributions},
author = {Linh Han Than and Klaus Scherer and Horst Fichtner},
journal= {arXiv preprint arXiv:2505.11112},
year = {2025}
}
Comments
10 pages, 7 Figures