Static multipolar Einstein-vector-Gauss-Bonnet black holes

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.

Weakly nonlinear strong-field signatures of spontaneously vectorized Einstein-vector-Gauss-Bonnet black holes near the Schwarzschild bifurcation
Sardor Murodov, Bekzod Rahmatov, Islom Egamberdiev +3
arXiv1 Sep 2026PreprintarXiv licenceFull textGravitation & general relativityarXiv
Alleviating cosmological strong coupling with torsion in regularized 4D Einstein-Gauss-Bonnet gravity
Jianhui Qiu, Ling-Wei Luo, Chunhui Liu +1
arXiv16 Oct 2026PreprintarXiv licenceFull textGravitation & general relativityarXiv
An Exact Single-Rotating Near-Horizon Geometry in Einstein-Gauss-Bonnet Gravity
U. Can Çelik, Kamal Hajian, Jutta Kunz
arXiv6 Sep 2026PreprintCC BY 4.0Full textGravitation & general relativityarXiv
Nonlinear scalarization and thermodynamics in Einstein-Phantom scalar-Gauss-Bonnet theory
Tian-Zhen Dai, Yun Soo Myung, De-Cheng Zou +4
arXiv1 Oct 2026PreprintarXiv licenceFull textGravitation & general relativityarXiv
Thermodynamics of Lorentzian Taub-NUT spacetimes in Einstein-Gauss-Bonnet AdS gravity
Borja Diez
arXiv16 Oct 2026PreprintCC BY 4.0Full textGravitation & general relativity High-energy & particle physicsarXiv

Cite

BibTeX RIS

BibTeX

@article{kleihaus2026static,
  title = {{Static multipolar Einstein-vector-Gauss-Bonnet black holes}},
  author = {Burkhard Kleihaus and Jutta Kunz},
  journal = {Physics Letters B},
  year = {2026},
  month = oct,
  doi = {10.1016/j.physletb.2026.141089},
  url = {https://linkinghub.elsevier.com/retrieve/pii/S0370269326009391},
  note = {CC BY 4.0},
}

RIS

TY  - JOUR
TI  - Static multipolar Einstein-vector-Gauss-Bonnet black holes
AU  - Burkhard Kleihaus
AU  - Jutta Kunz
PY  - 2026
DA  - 2026/10/30
JO  - Physics Letters B
DO  - 10.1016/j.physletb.2026.141089
UR  - https://linkinghub.elsevier.com/retrieve/pii/S0370269326009391
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.
SN  - 0370-2693
SN  - 1873-2445
ER  -

Abstract

Related

Cite