A Study of Black Holes in $F(R)-$ModMax Gravity: Gravitational Lensing and Constraints from EHT Observations

Abstract

The study of astrophysical phenomena like black hole shadows is an effective approach to properly understand the modified gravity and explore its validity. Motivated by recent astrophysical observations, we consider a black hole (BH) in $F(R)-$ModMax gravity and study the optical features such as the shadow's geometrical shape, energy emission rate, and deflection of light. More specifically, we show how the variation of the model parameters imprints specific signatures on these optical quantities. In the following, we consider such black holes as supermassive BHs and evaluate the parameters of the model with shadow size estimates done by the observations of M87* from the Event Horizon Telescope (EHT). According to our findings, the parameter $f_{R_0}$ plays an effective role in having results consistent with the EHT data such that the resulting shadow of AdS black holes in $F(R)-$ModMax gravity agrees with the observational data for $f_{R_0}<-1$. However, for dS black holes, a consistent result is observed for $f_{R_0}>-1$.

15 pages, 8 figures, Accepted for publication in Physics Letter B

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• Optical Signatures of Einstein-Euler-Heisenberg AdS/dS Black Holes in the light of Event Horizon Telescope
• Shadow of F(R)-EH Black Hole and Constraints from EHT Observations
• Shadow geometry of Kerr MOG naked singularity and analysis of accretion disk luminosity
• Quantum tunneling driven by quintessence and the role of GUP
• Black holes in $f(R,T)$ gravity coupled with Euler-Heisenberg electrodynamics
• Thermodynamics and optical aspects of ModMax black holes in higher order curvature gravity with quintessence dark energy
• Accelerating electrically charged ModMax black hole solutions in $F(R)$ gravity