Generalized Extended Uncertainty Principle Black Holes: Shadow and lensing in the macro- and microscopic realms

Understand

Motivated by the recent work about the Extended Uncertainty Principle (EUP) black holes \cite{Mureika:2018gxl}, we present in this study its extension called the Generalized Extended Uncertainty Principle (GEUP) black holes.

• In particular, we investigated the GEUP effects on astrophysical and micro-black holes.
• First, we derive the expression for the shadow radius to investigate its behavior as perceived by a static observer located near and far from the black hole.
• Constraints to the large fundamental length scale $L*$ up to $2\sigma$ level were also found using the EHT data: for Sgr.