Black hole solution and strong gravitational lensing in Eddington-inspired Born-Infeld gravity

Abstract

A new theory of gravity called Eddington-inspired Born-Infeld (EiBI) gravity was recently proposed by Bañados 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.

14 pages, 7 figures, 1 table. Two issues on the deflection angle and photon sphere were corrected and clarified

References in corpus (10)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole
• Kerr black hole lensing for generic observers in the strong deflection limit
• Surface singularities in Eddington-inspired Born-Infeld gravity
• Bouncing Eddington-inspired Born-Infeld cosmologies: an alternative to Inflation ?
• Cosmology with Eddington-inspired Gravity
• A tensor instability in the Eddington inspired Born-Infeld Theory of Gravity
• Domain Wall Brane in Eddington Inspired Born-Infeld Gravity
• Strong gravitational lensing in a noncommutative black-hole spacetime
• Kaluza Ansatz applied to Eddington inspired Born-Infeld Gravity

Cited by in corpus (18)

• Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime
• Gravitational lensing in a black-bounce traversable wormhole spacetime
• Lorentzian wormholes in Eddington-inspired Born-Infeld gravity
• Retrolensing by a charged black hole
• Nonsingular black holes, wormholes, and de Sitter cores from anisotropic fluids
• A review on analytical studies in Gravitational Lensing
• Holonomy corrected Schwarzschild black hole lensing
• Gravitational lensing by a black hole in effective loop quantum gravity
• Black hole solutions in mimetic Born-Infeld gravity
• Bianchi type I cosmological models in Eddington-inspired Born-Infeld gravity
• Strong gravitational lensing in a spacetime with topological charge within the Eddington-inspired Born-Infeld gravity
• Geodesically complete BTZ-type solutions of $2+1$ Born-Infeld gravity
• Topologically Charged Holonomy corrected Schwarzschild black hole lensing
• Scalar perturbations of Eddington-inspired Born-Infeld braneworld
• Born-Infeld gravity with a Brans-Dicke scalar
• Gravitational lensing in a space-time with cosmic string within the Eddington-inspired Born-Infeld gravity
• Boundary-only weak deflection angles from isothermal optical geometry
• Charged black holes in Eddington-inspired Born-Infeld gravity: An in-depth analysis of the structure of spacetime geometry