Black hole solution and strong gravitational lensing in Eddington-inspired Born-Infeld gravity
arXiv:1405.2178 · doi:10.1140/epjc/s10052-015-3469-7
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 in the EiBI gravity. It is found that, compared with the corresponding charged black hole in general relativity, the positive coupling parameter 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.
arXiv comment14 pages, 7 figures, 1 table. Two issues on the deflection angle and photon sphere were corrected and clarified
References in corpus (41)
- f(R) Theories Of Gravity
- Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
- Modified Gravity and Cosmology
- Extended Theories of Gravity
- The Galactic Center Massive Black Hole and Nuclear Star Cluster
- Schwarzschild black hole lensing
- Gravitational lensing in the strong field limit
- Strong field limit of black hole gravitational lensing
- Eddington's theory of gravity and its progeny
- Gravitational Lensing by Black Holes
- Born-Infeld-Einstein Actions?
- Spacetime perspective of Schwarzschild lensing
- Quasi-Equatorial Gravitational Lensing by Spinning Black Holes in the Strong Field Limit
- Compact stars in Eddington inspired gravity
- Strong field gravitational lensing in the deformed Hǒrava-Lifshitz black hole
- Analytic Kerr black hole lensing for equatorial observers in the strong deflection limit
- Kerr black hole lensing for generic observers in the strong deflection limit
- New insights on the matter-gravity coupling paradigm
- Surface singularities in Eddington-inspired Born-Infeld gravity
- Bouncing Eddington-inspired Born-Infeld cosmologies: an alternative to Inflation ?
- Gravitational lensing by Einstein-Born-Infeld black holes
- Eddington-inspired Born-Infeld gravity: astrophysical and cosmological constraints
- Structure of neutron, quark and exotic stars in Eddington-inspired Born-Infeld gravity
- Testing universal relations of neutron stars with a nonlinear matter-gravity coupling theory
- Testing alternative theories of gravity using the Sun
- Cosmology with Eddington-inspired Gravity
- A tensor instability in the Eddington inspired Born-Infeld Theory of Gravity
- Eddington-inspired Born-Infeld gravity: nuclear physics constraints and the validity of the continuous fluid approximation
- Radial oscillations and stability of compact stars in Eddington-inspired Born-Infeld gravity
- Domain Wall Brane in Eddington Inspired Born-Infeld Gravity
- Universe Driven by Perfect Fluid in Eddington-inspired Born-Infeld Gravity
- Strong gravitational lensing in a squashed Kaluza-Klein black hole spacetime
- Compact stars in Eddington-inspired Born-Infeld gravity: Anomalies associated with phase transitions
- Linear perturbations in Eddington-inspired Born-Infeld gravity
- Strong gravitational lensing in a noncommutative black-hole spacetime
- Observing gravitational lensing effects by Sgr A* with GRAVITY
- Noether Identities and Gauge-Fixing the Action for Cosmological Perturbations
- A new synthesis of matter and gravity: A nongravitating scalar field
- Kaluza Ansatz applied to Eddington inspired Born-Infeld Gravity
- Three dimensional Eddington--inspired Born--Infeld gravity: solutions
- Strong Gravitational Lensing of Quasi-Kerr Compact Object with Arbitrary Quadrupole Moments
Cited by in corpus (55)
- Born-Infeld inspired modifications of gravity
- Einstein-Born-Infeld-Massive Gravity: adS-Black Hole Solutions and their Thermodynamical properties
- Deflection angle in the strong deflection limit in a general asymptotically flat, static, spherically symmetric spacetime
- Gravitational lensing by scalar-tensor wormholes and the energy conditions
- Massive charged BTZ black holes in asymptotically (a)dS spacetimes
- Gravitational lensing in a black-bounce traversable wormhole spacetime
- Lorentzian wormholes in Eddington-inspired Born-Infeld gravity
- Testing Generalized Einstein-Cartan-Kibble-Sciama Gravity using Weak Deflection Angle and Shadow Cast
- Strong deflection gravitational lensing by a modified Hayward black hole
- Strong gravitational lensing by an electrically charged black hole in Eddington-inspired Born-Infeld gravity
- Wormholes with nonexotic matter in Born-Infeld gravity
- Retrolensing by a charged black hole
- Nonsingular black holes, wormholes, and de Sitter cores from anisotropic fluids
- Hyperboloidal framework for the Kerr spacetime
- Born-Infeld gravity coupled to Born-Infeld electrodynamics
- Constraints on Born-Infeld gravity from the speed of gravitational waves after GW170817 and GRB 170817A
- Strong gravitational field time delay for photons coupled to Weyl tensor in a Schwarzschild black hole
- 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
- Light Deflection by a Quantum Improved Kerr Black Hole Pierced by a Cosmic String
- Modified Eddington-inspired-Born-Infeld Gravity with a Trace Term
- Black hole solutions in mimetic Born-Infeld gravity
- Inner Structure of Black Holes in Eddington-inspired Born-Infeld gravity: the role of mass inflation
- Stability of the Einstein static universe in Eddington-inspired Born-Infeld theory
- 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
- Quantum Effects on the Deflection of Light and the Gauss-Bonnet Theorem
- Mass inflation in Eddington-inspired Born-Infeld black holes: analytical scaling solutions
- Probing Palatini-type gravity theories through gravitational wave detections via quasinormal modes
- Born-Infeld cosmology with scalar Born-Infeld matter
- Quasi-normal modes of massless scalar fields for charged black holes in the Palatini-type gravity
- Accelerated observers and the notion of singular spacetime
- Geodesically complete BTZ-type solutions of Born-Infeld gravity
- Strong lensing by DHOST black holes
- Overcharging black holes and cosmic censorship in Eddington-inspired Born-Infeld gravity
- Doomsdays in a modified theory of gravity: A classical and a quantum approach
- Topologically Charged Holonomy corrected Schwarzschild black hole lensing
- Probing gravity at sub-femtometer scales through the pressure distribution inside the proton
- On generalized wormhole in the Eddington inspired Born-Infeld (EiBI) gravity
- The final state of gravitational collapse in Eddington-inspired Born-Infeld theory
- Regular Instantons in the Eddington-inspired-Born-Infeld Gravity: Lorentzian Wormholes from Bubble Nucleations
- Anisotropic deformations in a class of projectively-invariant metric-affine theories of gravity
- Scalar perturbations of Eddington-inspired Born-Infeld braneworld
- Gravitational collapse in -dimensional Eddington-inspired Born-Infeld gravity
- Born-Infeld gravity with a Brans-Dicke scalar
- Constraint on dark matter central density in the Eddington inspired Born-Infeld (EiBI) gravity with input from Weyl gravity
- A new asymptotical flat and spherically symmetric solution in the generalized Einstein-Cartan-Kibble-Sciama gravity and gravitational lensing
- Charged black holes in higher-dimensional Eddington-inspired Born-Infeld gravity
- Gravitational lensing in a space-time with cosmic string within the Eddington-inspired Born-Infeld gravity
- Domain walls and other defects in Eddington-inspired Born-Infeld gravity
- Boundary-only weak deflection angles from isothermal optical geometry
- Discussion of a possible corrected black hole entropy
- Constraints on generalized Eddington-inspired Born-Infeld branes
- Charged black holes in Eddington-inspired Born-Infeld gravity: An in-depth analysis of the structure of spacetime geometry