In metric-affine bumblebee gravity, gravitational waves obey an orientation-dependent dispersion relation with only two tensor modes; timelike backgrounds shift propagation speed while spacelike ones add anisotropic quadrupole corrections plus a third-derivative term, allowing constraints on ξb².
Exact Schwarzschild-like solution in a bumblebee gravity model,
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A new black hole metric in non-commutative bumblebee gravity is constructed, with its shadow and lensing observables used to constrain the non-commutativity parameter against EHT and Solar System data.
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Gravitational waves in metric-affine bumblebee gravity
In metric-affine bumblebee gravity, gravitational waves obey an orientation-dependent dispersion relation with only two tensor modes; timelike backgrounds shift propagation speed while spacelike ones add anisotropic quadrupole corrections plus a third-derivative term, allowing constraints on ξb².
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The Flight of the Bumblebee in a Non-Commutative Geometry: A New Black Hole Solution
A new black hole metric in non-commutative bumblebee gravity is constructed, with its shadow and lensing observables used to constrain the non-commutativity parameter against EHT and Solar System data.