PreprintCC BY-NC-ND 4.0arXiv
Static spherically symmetric electroweak models with fermions and gravity
Abstract
In this article we provide a systematic reduction to static spherical symmetry for (classical) gauge theoretic models with structure group SU(2) x U(1), coupled to gravity. In particular, we derive the most general static spherically symmetric ansatz for the Einstein-Yang- Mills-Higgs-Dirac-Yukawa equation system. This model is reminiscent of the lepton sector of the Standard Model coupled to gravity. The resulting total system of ordinary differential equations is rather large, so that finding global solutions is non-trivial. For this reason, an open-source interactive solver GUI written in C++ is provided together with the article.
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BibTeX
@misc{sobak2026static,
title = {{Static spherically symmetric electroweak models with fermions and gravity}},
author = {Marko Sobak},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.08667},
eprint = {2609.08667},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.08667},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Static spherically symmetric electroweak models with fermions and gravity
AU - Marko Sobak
PY - 2026
DA - 2026/09/08
PB - arXiv
DO - 10.48550/arxiv.2609.08667
UR - https://arxiv.org/abs/2609.08667
AB - In this article we provide a systematic reduction to static spherical symmetry for (classical) gauge theoretic models with structure group SU(2) x U(1), coupled to gravity. In particular, we derive the most general static spherically symmetric ansatz for the Einstein-Yang- Mills-Higgs-Dirac-Yukawa equation system. This model is reminiscent of the lepton sector of the Standard Model coupled to gravity. The resulting total system of ordinary differential equations is rather large, so that finding global solutions is non-trivial. For this reason, an open-source interactive solver GUI written in C++ is provided together with the article.
ER -