Gravitational collapse in gravity's rainbow

Abstract

In this paper, we will analyze the gravitational collapse in the framework of gravity's rainbow. We will demonstrate that the position of the horizon for a particle inside the black hole depends on the energy of that particle. It will also be observe that the position of the horizon for a particle falling radially into the black hole also depends on its energy. Thus, it is possible for a particle coming from outside to interact with a particle inside the black, and take some information outside the black hole. This is because for both these particles the position of horizon is different. So, even though the particle from inside the black hole is in its own horizon, it is not in the horizon of the particle coming from outside. Thus, we will demonstrate that in gravity's rainbow information can get out of a black hole.

Asymptotically charged BTZ black holes in gravity’s rainbow

“…[4]. Other consequences of the gravity's rainbow in the context of the gravitational collapse and black hole physics have been investigated in literature (see [5][6][7][8] and references therein).…”

Black holes thermodynamics in a new kind of noncommutative geometry

“…It may be noted that the idea that the geometry of spacetime appear different for an in-falling observer and an asymptotic observer has been made for discussing the black hole complementarity [97,98,99,100]. It has been observed that the gravity's rainbow also modifies the geometry of a black hole, and this modification has been used to address the black hole information paradox [101,102,103]. It may be noted in the commutative limit these corrections vanish, and we obtain the original case back.…”

Gravitational collapse for the K-essence emergent Vaidya spacetime

“…In [30], the gravitational collapse is analyzed in the context of gravity's rainbow [31]. The rainbow gravity is basically a possible step towards repairing the rifts between the theories of general relativity and quantum mechanics.…”