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PreprintCC BY 4.0arXiv

Static multipolar Einstein-vector-Gauss-Bonnet black holes

  • Burkhard Kleihaus
  • Jutta Kunz
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Abstract

We construct and analyze static multipolar black holes in Einstein-vector-Gauss-Bonnet theory with a quadratic coupling function. The vectorized solutions bifurcate from the Schwarzschild black hole at discrete values of the Gauss-Bonnet coupling, obtained from a perturbative eigenvalue problem on the Schwarzschild background and labelled by the angular multipole number ℓ. We restrict to the fundamental radial branches. The electric sector contains the known spherically symmetric ℓ=0 branch as well as axisymmetric branches with ℓ>0. These electric branches extend to larger values of the coupling. The magnetic sector features a sequence of axisymmetric branches, including the previously found magnetic dipole branch at ℓ=0. The magnetic branches instead exist only on finite intervals of the coupling, ending at critical solutions. Away from the bifurcation point, nonlinearities generate additional multipoles, but even-ℓ and odd-ℓ moments remain separated.

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Cite

BibTeXRIS
BibTeX
@misc{kleihaus2026static,
  title = {{Static multipolar Einstein-vector-Gauss-Bonnet black holes}},
  author = {Burkhard Kleihaus and Jutta Kunz},
  howpublished = {arXiv},
  year = {2026},
  month = oct,
  doi = {10.48550/arxiv.2608.11900},
  eprint = {2608.11900},
  archivePrefix = {arXiv},
  url = {https://arxiv.org/abs/2608.11900},
  note = {CC BY 4.0},
}
RIS
TY  - UNPB
TI  - Static multipolar Einstein-vector-Gauss-Bonnet black holes
AU  - Burkhard Kleihaus
AU  - Jutta Kunz
PY  - 2026
DA  - 2026/10/29
PB  - arXiv
DO  - 10.48550/arxiv.2608.11900
UR  - https://arxiv.org/abs/2608.11900
AB  - We construct and analyze static multipolar black holes in Einstein-vector-Gauss-Bonnet theory with a quadratic coupling function. The vectorized solutions bifurcate from the Schwarzschild black hole at discrete values of the Gauss-Bonnet coupling, obtained from a perturbative eigenvalue problem on the Schwarzschild background and labelled by the angular multipole number ℓ. We restrict to the fundamental radial branches. The electric sector contains the known spherically symmetric ℓ=0 branch as well as axisymmetric branches with ℓ>0. These electric branches extend to larger values of the coupling. The magnetic sector features a sequence of axisymmetric branches, including the previously found magnetic dipole branch at ℓ=0. The magnetic branches instead exist only on finite intervals of the coupling, ending at critical solutions. Away from the bifurcation point, nonlinearities generate additional multipoles, but even-ℓ and odd-ℓ moments remain separated.
ER  -