Abstract
A new theory of gravity called Eddington-inspired Born-Infeld (EiBI) gravity was recently proposed by Ba\~{n}ados and Ferreira. This theory leads to some exciting new features, such as free of cosmological singularities. In this paper, we first obtain a charged EiBI black hole solution with a nonvanishing cosmological constant when the electromagnetic field is included in. Then based on it, we study the strong gravitational lensing by the asymptotic flat charged EiBI black hole. The strong deflection limit coefficients and observables are shown to closely depend on the additional coupling parameter $\kappa$ in the EiBI gravity. It is found that, compared with the corresponding charged black hole in general relativity, the positive coupling parameter $\kappa$ will shrink the black hole horizon and photon sphere. Moreover, the coupling parameter will decrease the angular position and relative magnitudes of the relativistic images, while increase the angular separation, which may shine new light on testing such gravity theory in near future by the astronomical instruments.
Highlights
In Ref. [11], the authors found that Eddingtoninspired Born–Infeld (EiBI) gravity coupled to a perfect fluid reduces to general relativity (GR) coupled to a nonlinearly modified perfect fluid resulting in an ambiguity between modified coupling and equation of state
It indicates that κ increases α(u) for the light propagated in the charged EiBI black hole background
The result shows that the strong deflection limit coefficient a1 increases, while a2 and ups decreases with the EiBI parameter κ for fixed charge Q
Summary
[54] and references therein for a recent review It is the purpose of this paper to explore the nature of the black hole in EiBI gravity from the viewpoint of the strong gravitational lensing. We construct a static spherically symmetric black hole with a cosmological constant when the electromagnetic field is included in Based on this black hole solution with vanishing cosmological constant, we study the lensing in the strong deflection limit by adopting Bozza’s method. 4, we suppose that the gravitational field of the supermassive black hole at the center of our Galaxy is described by the EiBI black hole and obtain the numerical results for the main observables in the strong deflection limit.
Sign-in/Register to view highlights & summary Sign-in/Register to access full text options 
Free) 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a call
