Consequences of a minimal length in a pseudo-complex extension of General Relativity

TL;DR

This paper explores how introducing a minimal length scale into an extended version of General Relativity affects black hole physics, revealing potential barriers near the horizon and a new minimal black hole mass limit.

Contribution

It develops an algebraically extended theory of GR incorporating a minimal length and analyzes its implications for black hole effective potentials and mass limits.

Findings

Minimal length causes potential barriers near black hole horizons.

A new lower bound for black hole mass is derived.

Effects are significant for small black hole masses.

Abstract

The effects of a minimal length are investigated within an algebraically extended theory of General Relativity (GR). Former attempts, to include a minimal length in GR are first resumed, with a conformal factor of the metric as a consequence. Effective potentials for various black hole masses (as ratios to the minimal length) are deduced. It is found that the existence of a minimal length has, for a small mass black hole, important effects on the effective potential near the event horizon, creating barriers which inhibit that particles can pass the event horizon. Further, a new limit for the minimal mass of a black hole is derive