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.
Spon- taneous Lorentz symmetry breaking and one-loop effective action in the metric-affine bumblebee gravity
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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.