A no-go theorem shows that negative effective mass squared for the vector field in vector-tensor gravity always accompanies ghost or gradient instabilities, blocking spontaneous vectorization in stationary axisymmetric black holes.
Exact analytic rotating black-hole solutions with primary hair,
5 Pith papers cite this work. Polarity classification is still indexing.
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Pith papers citing it
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2026 5verdicts
UNVERDICTED 5representative citing papers
Spacetime symmetries generate stealth Proca vector fields on arbitrary backgrounds, enabling exact Proca-haired rotating black holes in all dimensions.
New class of exact rotating black holes with primary hair in 5D generalized Proca theory, generalizing Myers-Perry via Kerr-Schild form with light-like Proca field.
Einstein-vector-Gauss-Bonnet theory with quadratic coupling admits static charged spherical and uncharged magnetic-dipole vectorized black holes, plus a bounded domain of rotating solutions.
Neutron stars with primary scalar hair in a DHOST subfamily are more compact than GR predictions and develop singularities above a critical scalar charge threshold.
citing papers explorer
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No-go theorem for spontaneous vectorization
A no-go theorem shows that negative effective mass squared for the vector field in vector-tensor gravity always accompanies ghost or gradient instabilities, blocking spontaneous vectorization in stationary axisymmetric black holes.
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Proca-type Hair of Rotating Black Holes in Higher Dimensions
Spacetime symmetries generate stealth Proca vector fields on arbitrary backgrounds, enabling exact Proca-haired rotating black holes in all dimensions.
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Rotating black holes with primary hair in five-dimensional generalized Proca theory
New class of exact rotating black holes with primary hair in 5D generalized Proca theory, generalizing Myers-Perry via Kerr-Schild form with light-like Proca field.
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Stationary Einstein-vector-Gauss-Bonnet black holes
Einstein-vector-Gauss-Bonnet theory with quadratic coupling admits static charged spherical and uncharged magnetic-dipole vectorized black holes, plus a bounded domain of rotating solutions.
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Neutron stars with primary scalar hair
Neutron stars with primary scalar hair in a DHOST subfamily are more compact than GR predictions and develop singularities above a critical scalar charge threshold.