Evaporation of dynamical horizon with the Hawking temperature in the {\bf K-}essence emergent Vaidya spacetime

Majumder, Bivash; Manna, Goutam; Manna, Mrinal

doi:10.48550/arxiv.2007.16053

Cited by 1 publication

(4 citation statements)

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“…The authors in [69,70], have described the dynamical horizon (DH) on the basis of [120][121][122][123][124] in the context of k-essence geometry considering Schwarzschild metric as the background metric. Whereas, in [64,71], the authors have described the apparent horizon (AH) for the generalized Vaidya type geometry.…”

Section: Apparent Horizonmentioning

confidence: 99%

“…Not to forget about the k-essence emergent Vaidya spacetime in massive gravity rainbow metric may exchange radiation with the surrounding but the mass function (35) can not totally evaporate due the presence of massive gravity terms and the kinetic part of the k-essence scalar field, which is function of v. As an example, in [70], the authors have shown the decreasing nature of black hole mass m(v, r) in the K-essence emergent Schwarzschild Vaidya spacetime but it does not completely vanish, by using DH equation as φ 2 v → 0 + .…”

Section: Physical Consequencesmentioning

confidence: 99%

“…In this section, we discuss the k-essence Vaidya geometry in the context of massive gravity's rainbow. Manna et al established the connection between the k-essence geometry and the Vaidya spacetime based on the DBI type action in [ 67,69].…”

Section: K-essence Vaidya Spacetime In Massive Gravity's Rainbowmentioning

confidence: 99%

“…Sharma et al [66] revisited the Vaidya-Tikekar stellar model in the linear regime. Manna et al established a general connection between the k-essence geometry and Vaidya spacetime in [67][68][69]. More specifically, using a generalized Vaidya-type metric [59,61], they have worked on the gravitational collapse in kessence emergent gravity in [69] in the context of the cosmic censorship hypothesis.…”

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confidence: 99%

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

Ray¹,

Panda²,

Majumder³

et al. 2022

Chinese Phys. C

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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.

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