Absence of black holes at LHC due to gravity's rainbow

Ali, Ahmed Farag; Faizal, Mir; Khalil, Mohammed M.

doi:10.1016/j.physletb.2015.02.065

Cited by 122 publications

(73 citation statements)

References 63 publications

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“…This is because it is not possible to produce black holes smaller than these remnants. This increases the energy at which mini black holes can be produced at the LHC [41].…”

Section: Introductionmentioning

confidence: 99%

Charged dilatonic black holes in gravity’s rainbow

et al. 2016

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In this paper, we present charged dilatonic black holes in gravity's rainbow. We study the geometric and thermodynamic properties of black hole solutions. We also investigate the effects of rainbow functions on different thermodynamic quantities for these charged black holes in dilatonic gravity's rainbow. Then we demonstrate that the first law of thermodynamics is valid for these solutions. After that, we investigate thermal stability of the solutions using the canonical ensemble and analyze the effects of different rainbow functions on the thermal stability. In addition, we present some arguments regarding the bound and phase transition points in context of geometrical thermodynamics. We also study the phase transition in extended phase space in which the cosmological constant is treated as the thermodynamic pressure. Finally, we use another approach to calculate and demonstrate that the obtained critical points in extended phase space represent a second order phase transition for these black holes.

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“…This is because it is not possible to produce black holes smaller than these remnants. This increases the energy at which mini black holes can be produced at the LHC [41].…”

Section: Introductionmentioning

confidence: 99%

Charged dilatonic black holes in gravity’s rainbow

et al. 2016

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“…For the reasons mentioned, we consider the gravity's rainbow in this paper. Recently, there has been a growing interest in gravity's rainbow because of its interesting achievements in the context of theoretical physics, such as providing possible solutions for information paradox [28,29], admitting the usual uncertainty principle [30,31], the existence of remnants for black holes after evaporation [32,33], and absence of black hole production at LHC [34]. In addition, from cosmological point of view, it is possible to remove the big bang singularity by using gravity's rainbow [35][36][37][38].…”

Section: Introductionmentioning

confidence: 99%

Dilatonic black holes in gravity’s rainbow with a nonlinear source: the effects of thermal fluctuations

et al. 2017

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This paper is devoted to an investigation of nonlinearly charged dilatonic black holes in the context of gravity's rainbow with two cases: (1) by considering the usual entropy, (2) in the presence of first order logarithmic correction of the entropy. First, exact black hole solutions of dilatonic Born-Infeld gravity with an energy dependent Liouville-type potential are obtained. Then, thermodynamic properties of the mentioned cases are studied, separately. It will be shown that although mass, entropy and the heat capacity are modified due to the presence of a first order correction, the temperature remains independent of it. Furthermore, it will be shown that divergences of the heat capacity, hence phase transition points are also independent of a first order correction, whereas the stability conditions are highly sensitive to variation of the correction parameter. Except for the effects of a first order correction, we will also present a limit on the values of the dilatonic parameter and show that it is possible to recognize AdS and dS thermodynamical behaviors for two specific branches of the dilatonic parameter. In addition, the effects of nonlinear electromagnetic field and energy functions on the thermodynamical behavior of the solutions will be highlighted and dependency of critical behavior, on these generalizations will be investigated. a

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“…As can be seen, for the limit χ → 0, the above equation reduces to the oscillatory modes (41). Then, in order to have a stable ESU in the framework of the DGR scenario, the following condition should be satisfied:…”

Section: In the Absence Of Cosmological Constantmentioning

confidence: 99%

“…The formation of the rainbow metric proposal involves various motivations such as the lack of a trivial definition of the dual position space in DSR [28]. However, this approach to QG is not free from problems and a considerable number of works have been focused on its various aspects [29][30][31][32][33][34][35][36][37][38][39][40][41]. Somehow, the proposal of gravity's rainbow is similar to the idea of "running coupling constants" in particle physics and field theory, in the sense that at very small distances (high energy) the space-time geometry is related to the energy scale of the particle probe [42][43][44].…”

Section: Introductionmentioning

confidence: 99%

On the stability of Einstein static universe in doubly general relativity scenario

et al. 2015

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By presenting a relation between the average energy of the ensemble of probe photons and the energy density of the universe, in the context of gravity's rainbow or the doubly general relativity scenario, we introduce a rainbow FRW universe model. By analyzing the fixed points in the flat FRW model modified by two well-known rainbow functions, we find that the finite time singularity avoidance (i.e. Big Bang) may still remain as a problem. Then we follow the "emergent universe" scenario in which there is no beginning of time and consequently there is no Big-Bang singularity. Moreover, we study the impact of high energy quantum gravity modifications related to the gravity's rainbow on the stability conditions of an "Einstein static universe" (ESU). We find that independent of the particular rainbow function, the positive energy condition dictates a positive spatial curvature for the universe. In fact, without raising a nonphysical energy condition in the quantum gravity regimes, we can observe agreement between gravity's rainbow scenario and the basic assumption of the modern version of the "emergent universe". We show that in the absence and presence of an energy-dependent cosmological constant ( ), a stable Einstein static solution is available versus the homogeneous and linear scalar perturbations under the variety of the obtained conditions. Also, we explore the stability of ESU against the vector and tensor perturbations.

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Absence of black holes at LHC due to gravity's rainbow

Cited by 122 publications

References 63 publications

Charged dilatonic black holes in gravity’s rainbow

Charged dilatonic black holes in gravity’s rainbow

Dilatonic black holes in gravity’s rainbow with a nonlinear source: the effects of thermal fluctuations

On the stability of Einstein static universe in doubly general relativity scenario

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