The effect of modified dispersion relations on the thermodynamics of black-body radiation

Nozari, Kourosh; Sefidgar, A.S.

doi:10.1016/j.chaos.2006.11.035

Cited by 19 publications

(26 citation statements)

References 20 publications

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“…The dependence on the temperature of the EOS parameter arises from the modifications in the thermodynamics of the fluid being considered, as now the relation between energy and momentum is not trivial [7][8][9] . The relevant thermodynamical quantities are computed using the density number of states with momenta in the interval between p and p + dp which is defined by N (p)dp = V π 2 p 2 dp,…”

Section: Modified Thermodynamicsmentioning

confidence: 99%

Singularity avoidance in rainbow cosmology

Santos¹,

Amelino‐Camelia²,

Gubitosi³

2017

The Fourteenth Marcel Grossmann Meeting

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It has been recently claimed that the initial singularity might be avoided in the context of rainbow cosmology, where one attempts to account for quantum-gravitational corrections through an effective-theory description based on an energy-dependent ("rainbow") space-time metric. We analyse this picture in detail in an attempt to present a more rigorous description of the problem. In particular, we show that the implications of a rainbow metric for thermodynamics are more significant than previously appreciated. We show two particularly meaningful examples where the singularity is not avoided suggesting that, although the rainbow-metric scenario provides tantalizing hints of singularity avoidance, it is inconclusive since some key questions remain to be addressed just when the scale factor is very small, a regime which, as here argued, cannot be reliably described by an effective rainbow-metric picture.

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Section: Modified Thermodynamicsmentioning

confidence: 99%

Singularity avoidance in rainbow cosmology

Santos¹,

Amelino‐Camelia²,

Gubitosi³

2017

The Fourteenth Marcel Grossmann Meeting

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“…Anomalies in ultra-high cosmic rays and γ-TeV events at LHC, may be explained by modification in the dispersion relation [41][42][43][44][45][46][47][48][49][50].…”

Section: Mdr: Modified Energy-momentum Relationmentioning

confidence: 99%

“…In additional to that, the possibility that the relation connecting energy and momentum in Special Relativity (SR) may be modified at Planck scale because of the threshold anomalies of ultra-high energy cosmic ray (UHECR). This enters the literature as Modified Dispersion Relations (MDRs) [41][42][43][44][45][46][47][48][49][50] and can provide new sensitive tests for SR. Successful searches would reveal a surprising connection between particle physics cosmology [37][38][39][40].…”

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confidence: 99%

Black hole corrections due to minimal length and modified dispersion relation

Tawfik

Diab

2015

Int. J. Mod. Phys. A

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The generalized uncertainty principles (GUP) and modified dispersion relations (MDR) are much like two faces for one coin in research for the phenomenology of quantum gravity which apparently plays an important role in estimating the possible modifications of the black hole thermodynamics and the Friedmann equations. We first reproduce the horizon area for different types of black holes and investigate the quantum corrections to Bekenstein-Hawking entropy (entropy-area law). Based on this, we study further thermodynamical quantities and accordingly the modified Friedmann equation in four-dimensional de Sitter-Schwarzschild, Reissner-Nördstrom and Garfinkle-HorowitzStrominger black holes. In doing this we applied various quantum gravity approaches. The MDR parameter relative to the GUP one is computed and the properties of the black holes are predicted. This should play an important role in estimating response of quantum gravity to the various metrictypes of black holes. We found a considerable change in the thermodynamics quantities. We find that the modified entropy of de-Sitter-Schwarzshild and Reissner-Nördstrom black holes starts to exist at a finite standard entropy. The Garfinkle-Horowitz-Strominger black hole shows a different entropic property. The modified specific heat due to GUP and MDR approaches vanishes at large standard specific heat, while the corrections due to GUP result in different behaviors. The specific heat of modified de-Sitter-Schwarzshild and Reissner-Nördstrom black holes seems to increase, especially at large standard specific heat. In the early case, the black hole cannot exchange heat with the surrounding space. Accordingly, we would predict black hole remnants which may be considered as candidates for dark matter.

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“…It is interesting that the usual relation between energy and momentum that characterizes the special theory of relativity p 2 = E 2 − m 2 , may be modified in the Planck scale regime. Anomalies in ultra high cosmic ray photons, and possibly TeV photons, may be explained by modification of the dispersion relation as [50][51][52][53][54] …”

Section: Mdrs and Black Hole's Thermodynamicsmentioning

confidence: 99%

Hawking Effect with Generalized Uncertainty Principle and Modified Dispersion Relations in de Sitter-Schwarzschild Black Hole

Dehghani

2010

Int J Theor Phys

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Although the tunneling approach is well established for black hole's radiation, much works have been done to support the extension of this approach to more general settings. In This letter the Parikh-Kraus-Wilczek tunneling proposal of black hole's tunneling radiation has been considered. The de Sitter-Schwarzschild black hole's thermodynamics has been studied based on both, the generalized uncertainty principle and the modified dispersion relations analysis. It is shown that entropy, temperature and the original ParikhKraus-Wilczek calculations of the black hole's tunneling probability receive new corrections. The results of these two alternative approaches are identical if one uses the suitable expansion coefficients.

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The effect of modified dispersion relations on the thermodynamics of black-body radiation

Cited by 19 publications

References 20 publications

Singularity avoidance in rainbow cosmology

Singularity avoidance in rainbow cosmology

Black hole corrections due to minimal length and modified dispersion relation

Hawking Effect with Generalized Uncertainty Principle and Modified Dispersion Relations in de Sitter-Schwarzschild Black Hole

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