Modified dispersion relations and black hole physics

Ling, Yi; Hu, Bo; Li, Xiang

doi:10.1103/physrevd.73.087702

Cited by 85 publications

(70 citation statements)

References 44 publications

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“…This issue deserves further research along the lines that have already been proposed in Refs. [11,12].…”

Section: Discussionmentioning

confidence: 99%

“…The effect of changes in the uncertainty principle was considered in Refs. [7][8][9], whereas a more general analysis including modified dispersion relations was recently presented by Amelino-Camelia et al [10,11], and by Ling and collaborators [12,13]. In particular, with a suitable modification of the dispersion relation and/or the uncertainty principle, a logarithmic term can be obtained.…”

Section: Introductionmentioning

confidence: 99%

“…[11] (see also [7][8][9][10]), which provides the first detailed study of the combined effects of these types of modifications, and in the further elaboration of the arguments of that paper presented in Refs. [12,13]. In particular, Ref.…”

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

Entropy and temperature of black holes in a gravity’s rainbow

Galán

Marugán

2006

Phys. Rev. D

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The linear relation between the entropy and area of a black hole can be derived from the Heisenberg principle, the energy-momentum dispersion relation of special relativity, and general considerations about black holes. There exist results in quantum gravity and related contexts suggesting the modification of the usual dispersion relation and uncertainty principle. One of these contexts is the gravity's rainbow formalism. We analyze the consequences of such a modification for black hole thermodynamics from the perspective of two distinct rainbow realizations built from doubly special relativity. One is the proposal of Magueijo and Smolin and the other is based on a canonical implementation of doubly special relativity put forward recently by the authors. In these scenarios, we obtain modified expressions for the entropy and temperature of black holes. We show that, for a family of doubly special relativity theories satisfying certain properties, the temperature can vanish in the limit of zero black hole mass. For the Magueijo and Smolin proposal, this is only possible for some restricted class of models with bounded energy and unbounded momentum. With the proposal of a canonical implementation, on the other hand, the temperature may vanish for more general theories; in particular, the momentum may also be bounded, with bounded or unbounded energy. This opens new possibilities for the outcome of black hole evaporation in the framework of a gravity's rainbow.

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“…This issue deserves further research along the lines that have already been proposed in Refs. [11,12].…”

Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Entropy and temperature of black holes in a gravity’s rainbow

Galán

Marugán

2006

Phys. Rev. D

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“…In the same time, great efforts also have been devoted to DSR and its implications [23,32,33,[37][38][39][40][41][42][43][44][45][46][47][48][49]. Where, the deformed spacetime geometry from DSR has been investigated by different proposals [23,[41][42][43][44][45].…”

Section: The Modified Black Holes From the Gravity's Rainbowmentioning

confidence: 99%

“…It is to say, the effective black hole entropy have the dependence on the energy of probe particle. Now, for large modified black holes, we use the characteristic temperature by identifying the energy of particles emitted from the black holes with the black hole's temperature [46,49,52,53], namely…”

Section: Entropy and Radiation Spectrum Of The Modified Black Holesmentioning

confidence: 99%

Hawking radiation and black hole entropy in a gravity’s rainbow

Liu

Zhu

2008

Gen Relativ Gravit

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In the context of gravity's rainbow, Planck scale correction on Hawking radiation and black hole entropy in Parikh and Wilczk's tunneling framework is studied. We calculate the tunneling probability of massless particles in the modified Schwarzschild black holes from gravity's rainbow. In the tunneling process, when a particle gets across the horizon, the metric fluctuation must be taken into account, not only due to energy conservation but also to spacetime Planck scale effect. Our results show that the emission rate is related to changes of the black hole's quantum corrected entropies before and after the emission. In the same time, for the modified black holes, a series of correction terms including a logarithmic term to Bekenstein-Hawking entropy are obtained. Correspondingly, the spectrum of Planck scale corrected emission is obtained and it deviates from the thermal spectrum. In addition, a specific form of modified dispersion relation is proposed and applied.

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