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.

Study of bending angle and shadow in a new Schwarzschild-like black hole affected by plasma and non-plasma mediums*

“…The shadow cast by a dyon BH, also known as Kerr-Newman-Kasuya spacetime, was studied in [42], where it was concluded that the shadow image is affected by both its rotational momentum and dyon charge. Övgün et al studied [43,44] the DA for spacetime solutions, such as the generalized Einstein-Cartan-Kibble-Sciama and null aether theories, using the GBT and verified that weak deflection of BHs is effected in these theories. An extensive review of quasinormal modes, analytic greybody factors, and gravitational lensing in rotating BH spacetime, such as bumblebees, is presented in [45].…”

A regular MOG black hole’s impact on shadows and gravitational weak lensing in the presence of a quintessence field

“…In this respect, a large amount of work has been implemented extensively to study gravitational lensing in recent years [69][70][71][72][73][74][75][76][77][78][79]. Furthermore, the gravitational lensing effects were considered powerful tools for testing the Weyl and bumblebee theories of gravity as well as the Lorentz invariance violation in bumblebee gravity [80,81]. It should be also noted that there exist investigations that added valuable contributions to understand deeply BH properties and gravitational lensing in the context of modified gravity and quintessence scalar fields: see, for example, [82][83][84].…”

Modification Study on Quantum Tunneling Radiation of Kinnersley Black Hole

“…Currently, Lorentz-breaking modified field theory models are being extensively investigated. A series of meaningful studies have been conducted on the modification effects caused by Lorentz-breaking theories from flat spacetime to curved spacetime [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16]. In the relevant research papers, modifications are discussed at both the classical and quantum levels [17][18][19][20][21][22][23][24][25].…”