Strong gravitational lensing and shadow constraint from M87* of slowly rotating Kerr-like black hole

Abstract

Motivated by (i) more and more interest in strong gravitational lensing by supermassive black holes due to the achievement of EHT observations, (ii) the ongoing popular topic on the possibility of Lorentz symmetry being broken in gravitation and its consequences, we will apply the Einstein bumblebee gravity with Lorentz violation (LV) to the study of strong gravitational lensing effect and the black hole shadow of slowly rotating Kerr-like black hole. In the strong gravitational lensing sector, we first calculate the deflection angel; then treating the slowly rotating Kerr-like black hole as supermassive M87* black hole, we evaluate the gravitational lensing observables (position, separation and magnification) and the time delays between the relativistic images. In the black hole shadow sector, we show the effect of LV parameter on the luminosity of the black hole shadow and photon sphere using the infalling spherical accretion. Moreover, we explore the dependence of various shadow observables on the LV parameter, and then give the possible constrain on the LV parameter by M87* black hole of EHT observations. We find that the LV parameter show significant effect on the strong gravitational lensing effect, the black hole shadow and photon sphere luminosity by accretion material. Our results point out that the future generations of EHT observation may help to distinguish the Einstein bumblebee gravity from GR, and also give a possible constrain on the LV parameter. Contents

Testing dynamical torsion effects on the charged black hole's shadow, deflection angle and greybody with M87* and Sgr A* from EHT

“…We investigate the shadow cast with the thin-accretion disk of the black hole in quadratic Poincare gauge gravity with massive torsion. First of all, the above integral is solved numerically by using the Okyay-Övgün Mathematica notebook package [75], (used in [68,78,79]). We integrate the flux to see the effects of the parameters of the dynamical torsion τ .…”

“…Moreover, Pantig and Övgün have studied the effect of Dehnen dark matter halo profile on a black hole in an ultra-faint dwarf galaxy [77]. Slowly rotating Kerr-like black hole in bumblebee gravity has been studied by Kuang and Övgün in [78]. Authors provide some constraint on parameters of NLE using the observations of M87* and Sgr.…”

Weak gravitational lensing in dark matter and plasma mediums for wormhole-like static aether solution

“…There have been various studies of the shadow of black holes and shadow of wormholes [35,36,[72][73][74][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90][91]. But first time here we will include the influence of a non-magnetized cold plasma with electron plasma frequency ω e (r ), which can be done through by means of deriving the equations of motion (EoS) through the Hamiltonian [54] to wormhole spacetime.…”

“…Here, K is the Gaussian curvature, d S is the surface component and p ∞ stands for infinite domain of the space. Numerous writers have used GBT to examine the angle of deflection for various BHs and WHs [21][22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39] Javed et al [40,41] calculated the weak GL by stringy BH and tidal charged BH. He and Lin [42] examined the GL for Kerr-Newman BH having arbitrary uniform velocity.…”

Greybody factors of bosons and fermions emitted from higher dimensional dS/AdS black holes in Einstein-bumblebee gravity theory

“…Recent researches suggest that there might be relationships between the shadow and black hole properties in general relativity or even in contexts outside of the Einsteinian paradigm [69][70][71][72]. Shadow for the slowly rotating Kerr-like black hole in Einstein bumblebee gravity has been studied [73]. We will be looking the effect of bumblee gravity on the shadow in higher dimension dS/AdS spacetime.…”