Kavli Affiliate: Lijing Shao
| First 5 Authors: Rui Xu, Dicong Liang, Lijing Shao, ,
| Summary:
The bumblebee gravity model is a vector-tensor theory of gravitation where
the vector field nonminimally couples to the Ricci tensor. By investigating the
vacuum field equations with spherical symmetry, we find two families of
black-hole (BH) solutions in this model: one has a vanishing radial component
of the vector field and the other has a vanishing radial component of the Ricci
tensor. When the coupling between the vector field and the Ricci tensor is set
to zero, the first family becomes the Reissner-Nordstr"om solution while the
second family degenerates to the Schwarzschild solution with the vector field
being zero. General numerical solutions in both families are obtained for
nonzero coupling between the vector field and the Ricci tensor. Besides BH
solutions, we also reveal the existence of solutions that have a nonvanishing
$tt$-component of the metric on the supposed event horizon where the
$rr$-component of the metric diverges while the curvature scalars are finite.
These solutions are not supported by existing observations but present certain
properties that are of academic interests. We conclude the study by putting the
BH solutions into tests against the Solar-system observations and the images of
supermassive BHs.
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