https://doi.org/10.1140/epjc/s10052-022-10307-y
Regular Article - Theoretical Physics
Kerr–Sen-like Lorentz violating black holes and superradiance phenomena
1
Chandernagore College, Chandernagore, Hooghly, West Bengal, India
2
Durgapur Government College, Durgapur, 713214, Burdwan, West Bengal, India
b anisur.associates@aucaa.ac.in, manisurn@gmail.com
Received:
5
October
2021
Accepted:
9
April
2022
Published online:
6
May
2022
A Kerr–Sen-like black hole solution results from Einstein-bumblebee gravity. It contains a Lorentz violating (LV) parameter that enters when the bumblebee field receives vacuum expectation value through a spontaneously breaking of the symmetry of the classical action. The geometrical structure concerning the singularity of this spacetime is studied with reference to the parameters involved in the Kerr–Sen-like metric. We introduce this Einstein-bumblebee modified gravity to probe the role of spontaneous Lorentz violation on the superradiance scattering phenomena and the instability associated with it. We observe that for the low-frequency range of the scalar wave the superradiance scattering gets enhanced when the Lorentz-violating parameter 
takes the negative values and it reduces when values of are positive. The study of the black hole bomb issue reveals that for the negative values of , the parameter space of the scalar field instability increase prominently, however, for its positive values, it shows a considerable reduction. We also tried to put constraints on the parameters contained in the Kerr–Sen-like black hole by comparing the deformation of the shadow produced by the black hole parameters with the observed deviation from circularity and the angular deviation from the 
data.
© The Author(s) 2022
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