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

Abstract

The ability of bumblebee gravity models to explain dark energy, which is the phenomenon responsible for the universe's observed accelerated expansion, is one of their most significant applications. An effect that causes faster expansion can be linked to how much the Lorentz symmetry of our universe is violated. Moreover, since we do not know what generates dark energy, the bumblebee gravity theory seems highly plausible. By utilizing the physical changes happening around a rotating bumblebee black hole (RBBH), we aim to obtain more specific details about the bumblebee black hole's spacetime and our universe. However, as researched in the literature, slow-spinning RBBH (SRBBH) spacetime, which has a higher accuracy, will be considered instead of general RBBH. To this end, we first employ the Rindler--Ishak method (RIM), which enables us to study how light is bent in the vicinity of a gravitational lens. We evaluate the deflection angle of null geodesics in the equatorial plane of the SRBBH spacetime. Then, we use astrophysical data to see the effect of the Lorentz symmetry breaking (LSB) parameter on the bending angle of light for numerous astrophysical stars and black holes. We also acquire the analytical greybody factors (GFs) and quasinormal modes (QNMs) of the SRBBH. Finally, we visualize and discuss the results obtained in the conclusion section.

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• Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity
• Shadow and deflection angle of asymptotic, magnetically-charged, non-singular black hole
• Shadow and greybody bounding of a regular scale-dependent black hole solution
• Geodesics structure and deflection angle of electrically charged black holes in gravity with a background Kalb-Ramond field
• The Effect of Quark-antiquark Confinement on the Deflection Angle by the NED Black Hole
• Quasinormal modes and greybody factors of symmergent black hole
• Quasinormal modes of the bumblebee black holes with a global monopole
• Lorentz Symmetry Violation in Charged Black Hole Thermodynamics and Gravitational Lensing: Effects of the Kalb-Ramond Field
• Anisotropic quark stars in $f(R,L_m,T)$ gravity
• Notes on thermodynamics of Schwarzschild-like bumblebee black hole
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• Gravitational lensing of massive particles by a black-bounce-Schwarzschild black hole
• Thermodynamics of Einstein-Euler-Heisenberg Black Holes with Thermal Fluctuations and Nonlinear Electromagnetic Fields
• Black hole with global monopole charge in self-interacting Kalb-Ramond field
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• On the analytic generalization of particle deflection in the weak field regime and shadow size in light of EHT constraints for Schwarzschild-like black hole solutions
• Static Spherical Vacuum Solution to Bumblebee Gravity with Time-like VEVs
• Gravitational field and lensing of a circular chiral vorton
• Systematic Light Propagation Bias from the Heliosphere and Its Impact on the Hubble Tension
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