Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow

Abstract

We investigate gravitational lensing in the strong-field regime for a black hole in F(R) Euler Heisenberg Gravity with Rainbow gravity modifications. This black hole spacetime is characterized by the Euler Heisenberg parameter, F(R) parameters, Rainbow functions, the black hole charge Q, and mass M . We numerically compute the strong deflection angle and its associated coefficients, and explore their astrophysical implications for supermassive black holes in different galaxies. Our findings show that increasing the Euler Heisenberg parameter enhances key lensing observables such as the photon sphere radius, critical impact parameter, angular position, relative magnification, Einstein ring radius, and time delay for a fixed Q . Conversely, increasing Q decreases these parameters while keeping other quantities fixed. Additionally, a higher Euler Heisenberg parameter reduces the deflection angle and angular separation S , whereas increasing Q causes both to increase. Our study reveals that black holes in this modified gravity framework can act as strong gravitational lenses, producing deflection angles that surpass those of Reissner Nordstrom and Schwarzschild black holes under specific conditions. These results highlight the unique topological features of modified charged black holes and suggest their potential as astrophysical candidates, offering new insights into their observational signatures. Furthermore, we analyze the sensitivity of the lensing predictions with respect to changes in the functional forms of the Rainbow functions. The combined effects of F(R) gravity, Euler Heisenberg electrodynamics, and Rainbow gravity introduce novel qualitative features not present in the individual models.

23 pages, 30 figures

References in corpus (35)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• First M87 Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole
• Quantum Gravity at a Lifshitz Point
• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• First Sagittarius A* Event Horizon Telescope Results. I. The Shadow of the Supermassive Black Hole in the Center of the Milky Way
• Models of f(R) Cosmic Acceleration that Evade Solar-System Tests
• First M87 Event Horizon Telescope Results. VI. The Shadow and Mass of the Central Black Hole
• First M87 Event Horizon Telescope Results. IV. Imaging the Central Supermassive Black Hole
• First M87 Event Horizon Telescope Results. V. Physical Origin of the Asymmetric Ring
• First M87 Event Horizon Telescope Results. II. Array and Instrumentation
• An Update on Monitoring Stellar Orbits in the Galactic Center
• The Newtonian Limit of F(R) gravity
• Nonlinear electrodynamics effects on the black hole shadow, deflection angle, quasinormal modes and greybody factors
• Strong deflection limit analysis and gravitational lensing of an Ellis wormhole
• Causal Limit of Neutron Star Maximum Mass in $f(R)$ Gravity in View of GW190814
• A comparison of approximate gravitational lens equations and a proposal for an improved new one
• Weak gravitational lensing of regular black holes with cosmic strings using the Gauss-Bonnet theorem
• Strong gravitational lensing and shadow constraint from M87* of slowly rotating Kerr-like black hole
• Absence of an Effective Horizon for Black Holes in Gravity's Rainbow
• Geodesic Structure of the Schwarzschild Black Hole in Rainbow Gravity
• Entropy and temperature of black holes in a gravity's rainbow
• Gravitational lensing by massless braneworld black holes
• Investigating strong gravitational lensing effects by suppermassive black holes with Horndeski gravity
• Strong field gravitational lensing by hairy Kerr black holes
• Testing strong gravitational lensing effects by supermassive compact objects with regular spacetimes
• A Proposal for Testing Gravity's Rainbow
• Motion of Particles and Gravitational Lensing Around (2+1)-dimensional BTZ black holes in Gauss-Bonnet Gravity
• Supermassive Neutron Stars in Axion $F(R)$ Gravity
• Black Hole Complementarity in Gravity's Rainbow
• Stability criterion for white dwarfs in Palatini $f(R)$ gravity
• Shadow and quasinormal modes of the rotating Einstein-Euler-Heisenberg black holes
• Gravitational wave in f(R) gravity: possible signature of sub- and super-Chandrasekhar limiting mass white dwarfs
• Quantum corrected thermodynamics of nonlinearly charged BTZ black holes in massive gravity's rainbow
• Traversable Wormholes in Einstein-Euler-Heisenberg Gravity: Geometry, Energy Conditions, and Gravitational Lensing
• New Black Hole Solutions of Second and First Order Formulations of Nonlinear Electrodynamics