Collapsing scenario for the k-essence emergent generalised Vaidya spacetime in the context of massive gravity's rainbow

TL;DR

This paper investigates the gravitational collapse of a k-essence emergent Vaidya spacetime within massive gravity's rainbow, revealing conditions for singularity formation and their properties under rainbow deformations.

Contribution

It introduces a new model of collapsing spacetime in massive gravity's rainbow with k-essence fields, analyzing singularity characteristics and energy conditions.

Findings

Existence of locally naked singularities.

Singularities satisfy energy conditions.

Rainbow deformations influence singularity strength.

Abstract

In this paper, we study the collapsing scenario for the k-essence emergent Vaidya spacetime in the context of massive gravity's rainbow. For this study, we consider that the background metric is Vaidya spacetime in massive gravity's rainbow. We show that the k-essence emergent gravity metric resembles closely to the new type of generalized Vaidya massive gravity metric with the rainbow deformations for null fluid collapse where we consider the k-essence scalar field as a function solely of the advanced or the retarded time. The k-essence emergent Vaidya massive gravity rainbow mass function is also different. This new type k-essence emergent Vaidya massive gravity rainbow metric has satisfied the required energy conditions. The existence of the locally naked central singularity, the strength and the strongness of the singularities for the rainbow deformations of the k-essence emergent Vaidya massive gravity metric are the interesting outcomes of the present work.