Scale--dependent Hayward black hole and the generalized uncertainty principle

Abstract

In this work we present a technique to obtain bounds on the generalized uncertainty principle deformation parameter by using an improved Schwarzschild solution represented by the Hayward metric in the context of scale--dependent gravity. Specifically, this deformation parameter can be interpreted in terms of a running parameter which controls the deviation from the standard Einstein--Hilbert action in the scale--dependent scenario.

arXiv comment5 pages. References added. Accepted in Mod. Phys. Lett. A

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