Dark matter spike around Bumblebee black holes

Abstract

The effects of dark matter spike in the vicinity of the supermassive black hole, located at the center of M87 (the Virgo A galaxy), are investigated within the framework of the so-called Bumblebee Gravity. Our primary aim is to determine whether the background of spontaneous Lorentz symmetry breaking has a significant effect on the horizon, ergo-region, and shadow of the Kerr Bumblebee black hole in the spike region. For this purpose, we first incorporate the dark matter distribution in a Lorentz-violating spherically symmetric space-time as a component of the energy-momentum tensors in the Einstein field equations. This leads to a space-time metric for a Schwarzschild Bumblebee black hole with a dark matter distribution in the spike region and beyond. Subsequently, this solution is generalized to a Kerr Bumblebee black hole through the use of the Newman-Janis-Azreg-Aïnou algorithm. Then, according to the available observational data for the dark matter spike density and radius, and the Schwarzschild radius of the supermassive black hole in Virgo A galaxy, we examine the shapes of shadow and demonstrate the influence of the spin parameter a, the Lorentz-violating parameter ℓ and the corresponding dark matter halo parameters ρ 0 and r 0 on the deformation and size of the shadow.

Quasi-normal modes, emission rate, and shadow of charged AdS black holes with perfect fluid dark matter*

“…According to the findings reported in Ref. [6] regarding , the observational data include the distance of from Earth, which is determined to be , and the mass of the black hole, which is calculated to be [94,95].…”

Exploring antisymmetric tensor effects on black hole shadows and quasinormal frequencies

“…The investigation of spontaneous Lorentz symmetry breaking [11][12][13][14][15][16] finds its foundation in the Standard Model Extension. Within this framework, the simplest field theories are encapsulated by bumblebee models [1,[12][13][14][15][17][18][19][20]. In these models, a vector field, termed the bumblebee field, acquires a non-zero vacuum expectation value (VEV).…”