Applying the strong deflection limit to the F(R)-Euler-Heisenberg-Rainbow black hole gives lensing observables that increase with the Euler-Heisenberg parameter and decrease with charge.
Geodesics, accretion disk, gravitational lensing, time delay, and effects on neutrinos induced by a non-commutative black hole
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abstract
This paper explores gravitational phenomena associated with a non-commutative black hole. Geodesic equations are derived, and a thin accretion disk is analyzed to model the black hole shadow image, considering an optically thin, radiating, and infalling gas. Retrolensing effects are examined to trace photon emission configurations, while gravitational lensing is investigated through weak and strong deflection limits, with lensing equations and observables applied to Sagittarius A*. The study also includes calculations of time delay, energy deposition rate from neutrino annihilation, phase and probability of neutrino oscillation, and neutrino gravitational lensing.
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Strong gravitational lensing by black hole in F(R) Euler Heisenberg Gravity's Rainbow
Applying the strong deflection limit to the F(R)-Euler-Heisenberg-Rainbow black hole gives lensing observables that increase with the Euler-Heisenberg parameter and decrease with charge.