Some features of a Schwarzchild Black Hole from a Snyder perspective

TL;DR

This paper explores how a Snyder-deformed potential affects Schwarzschild black hole properties, revealing a variable horizon and different penetration radii for particles and light, while circular orbits remain unchanged.

Contribution

It introduces a Snyder-deformed potential into the Schwarzschild metric, showing novel effects on the horizon and particle trajectories not previously studied.

Findings

Horizon becomes dynamically dependent on the deformation.

Different penetration radii for massive particles and light rays.

Circular orbits are unaffected by the deformation.

Abstract

In this paper, the consequences of introducing a deformed Snyder-Kepler potential in the Schwarzchild metric are investigated. After this modification, it is obtained a dynamically depending horizon with different penetration radius for massive particles and light rays in radial orbits. In the case of circular orbits, they all remain untouched.