Superradiance scattering off Kerr-like black hole and its shadow in the bumblebee gravity with noncommutative spacetime

Abstract

We consider a bumblebee gravity-based Kerr-like black hole in a noncommutative (NC) background and study the superradiance effect and the shadow cast. We extensively study the different aspects of the black hole associated with a generalized Kerr-like spacetime metric endowed with the corrections jointly linked with Lorentz violation and NC spacetime effect. We examine the deviation of shape, and size of the ergosphere, energy emission rate, in this generalized situation. We also examine the influence of admissible values of Lorentz violating parameter $$\ell $$ ℓ and NC parameter b on the superradiance effect and shadow of the black hole. The admissible range has been determined from the observation of the Event Horizon Telescope (EHT) collaboration concerning $$M87^{*}$$ M 87 ∗ astronomical black hole. We observe that the superradiance phenomena has a crucial dependence on the parameter $$\ell $$ ℓ and b apart from its dependence on a or $${\hat{a}}= \sqrt{\ell +1}a$$ a ^ = ℓ + 1 a which is linked with the spin of the black hole. We also observe that with the increase in Lorentz violating parameter $$\ell $$ ℓ , the size of the black hole shadow increases, and with the increase in the NC parameter b the size of the black hole decreases. We have made an attempt to constrain the NC parameters b of this modified Kerr-like black hole by using the data available from the Event Horizon Telescope (EHT) collaboration. This study shows that black holes associated with NC Kerr-like spacetime may be a suitable candidate for the astrophysical black holes.

Probing the Lorentz Invariance Violation via Gravitational Lensing and Analytical Eigenmodes of Perturbed Slowly Rotating Bumblebee Black Holes

“…The first RRBH solution was found in 2019 by Ding et al [25], who showed that the bumblebee field can impact the properties of rotating black holes, including their shapes, sizes, and gravitational attraction. This was followed by several other studies that investigated the effects of rotation on bumblebee black holes, including their QNMs, GFs, shadow, superradiant instability, and many other features [5,23,28,29,32,34,36,[44][45][46][47][48][49][50].…”