Schwarzschild Field with Maximal Acceleration Corrections

TL;DR

This paper explores how maximal acceleration corrections modify the Schwarzschild metric, leading to a new spherical shell effect that prevents classical particles from penetrating beyond a certain radius.

Contribution

It introduces a model incorporating maximal acceleration effects into the Schwarzschild solution, revealing novel phenomena such as an impenetrable spherical shell.

Findings

Maximal acceleration corrections alter the Schwarzschild metric.

A new spherical shell appears outside the Schwarzschild radius.

Classical particles cannot penetrate this shell.

Abstract

We consider a model in which accelerated particles experience line--elements with maximal acceleration corrections. When applied to the Schwarzschild metric, the effective field experienced by accelerated test particles contains corrections that vanish in the limit $\hbar\to 0$, but otherwise affect the behaviour of matter greatly. A new effect appears in the form of a spherical shell, external to the Schwarzschild sphere, impenetrable to classical particles.