Maximal Acceleration Effects in Kerr Space

TL;DR

This paper investigates how maximal acceleration corrections influence particles in Kerr spacetime, revealing potential barriers outside the horizon that affect matter behavior, with implications for quantum gravity effects.

Contribution

It introduces a simplified approximation method for maximal acceleration effects and applies it to Kerr spacetime, highlighting significant quantum corrections.

Findings

Potential barriers outside the horizon due to acceleration corrections

Corrections vanish as Planck's constant approaches zero

Matter behavior is significantly affected by these quantum corrections

Abstract

We consider a model in which accelerated particles experience line--elements with maximal acceleration corrections that are introduced by means of successive approximations. It is shown that approximations higher than the first need not be considered. The method is then applied to the Kerr 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. The corrections generate potential barriers that are external to the horizon and are impervious to classical particles.