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

Abstract

In this paper, we study the collapsing scenario for the {\bf 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 {\bf 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 {\bf k-}essence scalar field as a function solely of the advanced or the retarded time. The {\bf k-}essence emergent Vaidya massive gravity rainbow mass function is also different. This new type {\bf 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 {\bf k-}essence emergent Vaidya massive gravity metric are the interesting outcomes of the present work.

Evaporation of Dynamical Horizon with the Hawking Temperature in the K‐essence Emergent Vaidya Spacetime

“…In this work, we have used the K‐ essence model as purely gravitational standpoint as. [ 26–28 ] v)Finally, though the cosmic implications of dark energy are important in the current scenario, the K‐ essence theory has received universal support as an explanation, and the $$\phi _{v}^{2}$$ quantity may be thought of as dark energy density in units of critical density. [ 18–20 ] …”

“…The dark energy component of the K-essence models, in which the speed of sound does not exceed the speed of light, may be able to account for the variations in the cosmic microwave background (CMB) at large angular scales. [23][24][25] On the other hand, the K-essence theory may be employed just from a gravitational or geometrical aspect [26][27][28] other than the dark energy model, because the existence of dark energy is still debatable [29] according to current observation. [30] In addition, we analyze the non-canonical Lagrangian from a different perspective.…”

Geodesic structure of generalized Vaidya spacetime through the K-essence

“…This feature may mitigate the cosmic microwave background (CMB) disruptions on large angular scales [56][57][58]. In this specific situation, Manna et al [8,10,[36][37][38][62][63][64][65][66][67] have developed a fascinating emergent gravity metric referred to as Ḡµν . This metric possesses distinct attributes in contrast to the standard gravitational metric g µν and is derived from the notions of the Dirac-Born-Infeld (DBI) type action, as outlined in the works [70][71][72][73].…”

Geodesic Structure of Generalized Vaidya Spacetime through the K-Essence

“…This feature may mitigate the cosmic microwave background (CMB) disruptions on large angular scales [58][59][60]. In this specific situation, Manna and coworkers [8,10,[37][38][39][61][62][63][64][65][66] have developed a fascinating emergent gravity metric, referred to as Ḡµν . This metric possesses distinct attributes in contrast to the standard gravitational metric g µν and is derived from the notions of the Dirac-Born-Infeld (DBI)-type action, as outlined in Refs.…”

“…[73][74][75], have examined the empirical evidence supporting the concept of K-essence with a DBI-type non-canonical Lagrangian, along with other modified theories. Furthermore, it has been noted that the K-essence theory may be applied in a model that combines dark energy and dark matter [8,10,45,[61][62][63][64], as well as from a purely gravitational perspective [37][38][39]65,66].…”