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In this paper, we study the collapsing scenario for the k-essence emergentVaidya spacetime in the context of massive gravity's rainbow. For this study,we consider that the background metric is Vaidya spacetime in massive gravity'srainbow. We show that the k-essence emergent gravity metric resembles closelyto the new type of generalized Vaidya massive gravity metric with the rainbowdeformations for null fluid collapse where we consider the k-essence scalarfield as a function solely of the advanced or the retarded time. The k-essenceemergent Vaidya massive gravity rainbow mass function is also different. Thisnew type k-essence emergent Vaidya massive gravity rainbow metric has satisfiedthe required energy conditions. The existence of the locally naked centralsingularity, the strength and the strongness of the singularities for therainbow deformations of the k-essence emergent Vaidya massive gravity metricare the interesting outcomes of the present work.

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