Asymptotically charged BTZ black holes in gravity’s rainbow

Hendi, S. H.

doi:10.1007/s10714-016-2044-3

Cited by 49 publications

(39 citation statements)

References 119 publications

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“…where T 0 = A/2π is the usual expression for temperature. One can notice that the above expression for temperature is consistent with the time-like Killing vector corresponding to the metric (40). It is well known that the expression for the surface gravity corresponding to the metric ds 2 = F (x)(−dt 2 + dx 2 ) + dΩ 2 is given by κ = F ′ (x 0 )/2 where x 0 is the location of the horizon.…”

Section: Fourier Coefficient Methodssupporting

confidence: 66%

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Rainbow Rindler metric and Unruh effect

Yadav

Komal

Majhi

2017

Int. J. Mod. Phys. A

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The energy of a particle moving on a spacetime, in principle, can affect the background metric. The modifications to it depend on the ratio of energy of the particle and the Planck energy, known as rainbow gravity. Here we find the explicit expressions for the coordinate transformations from rainbow Minkowski spacetime to accelerated frame. The corresponding metric is also obtained which we call as rainbow-Rindler metric. So far we are aware of, no body has done it in a concrete manner. Here this is found from the first principle and hence all the parameters are properly identified. The advantage of this is that the calculated Unruh temperature is compatible with the Hawking temperature of the rainbow black hole horizon, obtained earlier. Since the accelerated frame has several importance in revealing various properties of gravity, we believe that the present result will not only fill that gap, but also help to explore different aspects of rainbow gravity paradigm.

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Section: Fourier Coefficient Methodssupporting

confidence: 66%

“…This is obvious from the expression κ = −1/2(∇ b ξ a )(∇ b ξ a ) where ξ a is the time-like Killing vector for this metric. Now (40) has F (x) = exp[(2Agx)/f ] and hence κ = (Ag)/f . Therefore the temperature is given by (46) and hence it is compatible with the time-like Killing vector of the metric.…”

Section: Fourier Coefficient Methodsmentioning

confidence: 99%

Rainbow Rindler metric and Unruh effect

Yadav

Komal

Majhi

2017

Int. J. Mod. Phys. A

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“…The semi-classical approach of Gravity's Rainbow has been used, for instance, to investigate Cosmological and Astrophysical phenomena in a variety of contexts ranging from Friedmann-Robertson-Walker Universe [9][10][11][12], black hole thermodynamics [13][14][15][16][17] to neutron stars' properties [18], massive scalar field in the Schwarzschild metric [19][20][21] and Casimir effect [22]. These works show us a growing interest in the semi-classical approach of Rainbow's Gravity as to investigate quantum gravity effects through corrections to the dispersion relation of relativistic quantum fields.…”

Section: Introductionmentioning

confidence: 99%

Dirac oscillator in the cosmic string spacetime in the context of gravity’s rainbow

Bakke

Mota

2018

Eur. Phys. J. Plus

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In this paper we consider the Dirac oscillator in the context of Doubly General Relativity or Gravity's Rainbow. In order to obtain the energy levels of the Dirac oscillator, we solve the Dirac equation in the cosmic string spacetime modified by gravity's rainbow scenarios described by two rainbow functions. We then obtain that, as a consequence of the modification of the cosmic string line element by the two rainbow functions, the energy levels of the Dirac oscillator are appreciable altered. The results are plotted and compared with the standard case, without gravity's rainbow effects. * Electronic address: kbakke@fisica.ufpb.br † Electronic address: hmota@fisica.ufpb.br arXiv:1802.08711v2 [gr-qc]

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“…Among the interesting achievements of the gravity's rainbow, one can regard the UV completion of general relativity [11], existence of remnants for black holes after evaporation [20,21], admitting usual uncertainty principle [10,22] and providing solutions for information paradox [23,24]. Moreover, the gravity's rainbow has been employed to investigate the thermodynamical properties of black holes [25][26][27][28][29] and the structure of neutron stars [30]. In the context of cosmology, it was shown that employing this formalism will provide the possibility of removing the big bang singularity [31][32][33][34] and the big bounce of a cyclic universe [35].…”

Section: Introductionmentioning

confidence: 99%

Nonsingular universe in massive gravity’s rainbow

Hendi

Momennia

Panah

et al. 2017

Physics of the Dark Universe

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One of the fundamental open questions in cosmology is whether we can regard the universe evolution without singularity like a Big Bang or a Big Rip. This challenging subject stimulates one to regard a nonsingular universe in the far past with an arbitrarily large vacuum energy. Considering the high energy regime in the cosmic history, it is believed that Einstein gravity should be corrected to an effective energy dependent theory which could be acquired by gravity's rainbow. On the other hand, employing massive gravity provided us with solutions to some of the long standing fundamental problems of cosmology such as cosmological constant problem and self acceleration of the universe. Considering these aspects of gravity's rainbow and massive gravity, in this paper, we initiate studying FRW cosmology in the massive gravity's rainbow formalism. At first, we show that although massive gravity modifies the FRW cosmology, but it does not itself remove the big bang singularity. Then, we generalize the massive gravity to the case of energy dependent spacetime and find that massive gravity's rainbow can remove the early universe singularity. We bring together all the essential conditions for having a nonsingular universe and the effects of both gravity's rainbow and massive gravity generalizations on such criteria are determined.

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Asymptotically charged BTZ black holes in gravity’s rainbow

Cited by 49 publications

References 119 publications

Rainbow Rindler metric and Unruh effect

Rainbow Rindler metric and Unruh effect

Dirac oscillator in the cosmic string spacetime in the context of gravity’s rainbow

Nonsingular universe in massive gravity’s rainbow

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