The effect of loop quantum gravitational rainbow functions on the formation of naked singularities

TL;DR

This paper explores how loop quantum gravity's rainbow functions influence gravitational collapse, showing that such modifications can prevent naked singularities and support the weak cosmic censorship hypothesis.

Contribution

It introduces a novel application of rainbow functions derived from loop quantum gravity to prevent naked singularity formation during collapse.

Findings

Rainbow functions prevent naked singularity formation

Loop quantum gravity effects support cosmic censorship

Collapse outcomes are altered by quantum modifications

Abstract

In this paper, we will investigate the consequences of loop quantum gravitational modifications on the formation of naked singularities. The loop quantum gravitational effects will be incorporated in the collapsing system using gravity's rainbow. This will be done by using rainbow functions, which are constructed from loop quantum gravitational modifications to the energy momentum dispersion. It will be observed that this modification will prevent the formation of naked singularity. Thus, such a modification can ensures that the weak cosmic censorship hypothesis will hold for any collapsing system.