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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3 Pith papers cite this work. Polarity classification is still indexing.
fields
gr-qc 3years
2026 3verdicts
UNVERDICTED 3representative citing papers
New stationary vectorized black holes exist in Einstein-vector-Gauss-Bonnet theory, including charged spherical, uncharged axial with magnetic moments, and rotating solutions bounded by Kerr and static cases.
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.
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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Stationary Einstein-vector-Gauss-Bonnet black holes
New stationary vectorized black holes exist in Einstein-vector-Gauss-Bonnet theory, including charged spherical, uncharged axial with magnetic moments, and rotating solutions bounded by Kerr and static cases.
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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.