Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory

Peng, Jun-Jin; Wu, Shuang-Qing

doi:10.1007/s10714-008-0642-4

Cited by 70 publications

(66 citation statements)

References 37 publications

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“…A consequence of this modification is that, doubly special relativity come naturally equipped with a maximum measurable momentum. A modified version of general rel-ativity called the Gravity's Rainbow has been constructed [30]- [31]. Gravity's Rainbow both velocity of light and the Planck energy are again invariant quantities.…”

Section: Introductionmentioning

confidence: 99%

Deformation of the Wheeler–DeWitt equation

Faizal

2014

Int. J. Mod. Phys. A

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In this paper, we will analyse the consequences of deforming the canonical commutation relations consistent with the existence of a minimum length and a maximum momentum. We first generalize the deformation of first quantized canonical commutation relation to second quantized canonical commutation relation. Thus, we arrive at a modified version of second quantization. A modified Wheeler-DeWitt equation will be constructed by using this deformed second quantized canonical commutation relation. Finally, we demonstrate that in this modified theory the big bang singularity gets naturally avoided.

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Section: Introductionmentioning

confidence: 99%

Deformation of the Wheeler–DeWitt equation

Faizal

2014

Int. J. Mod. Phys. A

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“…So, we again consider a linear GUP given by Eq. (27), and calculate the corrections to the entropy of a seven dimensional Schwarzschild black hole from this linear GUP…”

Section: Black Hole Thermodynamics In Various Dimensionsmentioning

confidence: 99%

Constraints on the Generalized Uncertainty Principle from black-hole thermodynamics

Gangopadhyay¹,

Dutta²,

Faizal³

2015

EPL

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In this paper, we calculate the modification to the thermodynamics of a Schwarzschild black hole in higher dimensions because of Generalized Uncertainty Principle (GUP). We use the fact that the leading order corrections to the entropy of a black hole has to be logarithmic in nature to restrict the form of GUP. We observe that in six dimensions, the usual GUP produces the correct form for the leading order corrections to the entropy of a black hole. However, in five and seven dimensions a linear GUP, which is obtained by a combination of DSR with the usual GUP, is needed to produce the correct form of the corrections to the entropy of a black hole. Finally, we demonstrate that in five dimensions, a new form of GUP containing quadratic and cubic powers of the momentum also produces the correct form for the leading order corrections to the entropy of a black hole.

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“…The existence of this maximum energy scale is motivated by the modification of the usual energy-momentum relation which occurs in discrete spacetime [30], spontaneous symmetry breaking of Lorentz invariance in string field theory [31], spacetime foam models [32], spin-network in loop quantum gravity [33], non-commutative geometry [34], and Horava-Lifshitz gravity [35]. It may be noted that the DSR has been generalized to curved spacetime, and the resultant theory is gravity's rainbow [36,37]. It is possible to combine the deformation occurring due to GUP with the deformation occurring due to DSR into a single deformation of the Heisenberg algebra [38,39].…”

Section: Introductionmentioning

confidence: 99%

Discreteness of time in the evolution of the universe

Faizal

Ali

Das

2017

Int. J. Mod. Phys. A

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In this paper, we will first derive the Wheeler-DeWitt equation for the generalized geometry which occurs in M-theory. Then we will observe that M2-branes act as probes for this generalized geometry, and as M2-branes have an extended structure, their extended structure will limits the resolution to which this generalized geometry can be defined. We will demonstrate that this will deform the Wheeler-DeWitt equation for the generalized geometry. We analyse such a deformed Wheeler-DeWitt equation in the minisuperspace approximation, and observe that this deformation can be used as a solution to the problem of time. This is because this deformation gives rise to time crystals in our universe due to the spontaneous breaking of time re-parametrization invariance.

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Covariant anomaly and Hawking radiation from the modified black hole in the rainbow gravity theory

Cited by 70 publications

References 37 publications

Deformation of the Wheeler–DeWitt equation

Deformation of the Wheeler–DeWitt equation

Constraints on the Generalized Uncertainty Principle from black-hole thermodynamics

Discreteness of time in the evolution of the universe

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