E. L. B. Junior, J. T. S. S. Junior, F. S. N. Lobo, M. E. Rodrigues, D. Rubiera-Garcia, L. F. D. da Silva, H. A. Vieira
Abstract
In this paper, we investigate the gravitational lensing effect for the Schwarzschild-like black hole space-time in the background of a Kalb-Ramond (KR) field proposed by Yang et al. [Phys. Rev. D 108, 124004 (2023)]. The solution is characterized by a single extra parameter l, which is associated to the Lorentz symmetry breaking induced by the KR field. First, we calculate the exact deflection angle of massive and massless particles for finite distances using elliptic integrals. Then we study this effect in the weak and strong field regimes, discussing the correction of the KR parameter on the coefficients of the expansions in both limits. We also find that increasing l decreases the deflection angle. Furthermore, we use the available data from the Sagittarius A* object, which is believed to be a supermassive black hole at the center of our Galaxy, to calculate relevant observables, such as the image position, luminosity, and delay time. The values found could be potentially measured in the weak field regime, though for strong fields one would have to wait for the next generation of interferometers.
Keywords
Alternative gravity theories; General relativity; Gravitation, Cosmology & Astrophysics
Physical Review D
Volume 110, Issue 2, Page 16
2024 July
