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

Dehghani, M.

doi:10.1007/s10773-010-0551-7

Cited by 5 publications

(5 citation statements)

References 53 publications

(45 reference statements)

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“…[58,67]. This shows that the quadratic GUP and MDR effects on quantum geometry and on the entropy-area relation [58,67]. In the present work, we summarize the effects of minimal length and higher order GUPs and MDRs relations using a rather simple technique.…”

Section: Approaches a Energy-area Law Of Black Holementioning

confidence: 96%

“…[58,67]. This shows that the quadratic GUP and MDR effects on quantum geometry and on the entropy-area relation [58,67].…”

Section: Approaches a Energy-area Law Of Black Holementioning

confidence: 99%

“…Nevertheless, the gravitational effect on the evolution of the Universe was neglected in many models [52-55, 57, 59, 65]. Over the last decades, this was assumed as a quantum geometric correction in the thermodynamical properties including the characteristic Hawking temperature and entropy [58]. This should not prevent the combination of quantum gravity with the black hole physics.…”

Section: Approaches a Energy-area Law Of Black Holementioning

confidence: 99%

“…The systematic study of the black hole radiation and the correction due to entropy/area relation gain the attention of theoretical physicists. For instance, there are nowadays many methods for calculating Hawking radiation [57][58][59][60][61][62]. Nevertheless, all results show that the black hole radiation is very close to the black body spectrum [63,64].…”

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confidence: 99%

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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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Section: Approaches a Energy-area Law Of Black Holementioning

confidence: 96%

“…[58,67]. This shows that the quadratic GUP and MDR effects on quantum geometry and on the entropy-area relation [58,67].…”

Section: Approaches a Energy-area Law Of Black Holementioning

confidence: 99%

Section: Approaches a Energy-area Law Of Black Holementioning

confidence: 99%

mentioning

confidence: 99%

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Black hole corrections due to minimal length and modified dispersion relation

Tawfik

Diab

2015

Int. J. Mod. Phys. A

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“…For reference about the entropy-area relation in different black holes under the effects of quadratic GUP, the readers are advised to consult Ref. [58,67]. This shows that the quadratic GUP and MDR effects on quantum geometry and on the entropy-area relation [58,67].…”

Section: A Energy-area Law Of Black Holementioning

confidence: 99%

Black Hole Corrections due to Minimal Length and Modified Dispersion Relation

Tawfik,

Diab

2015

Preprint

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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-Horowitz-Strominger 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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Thermodynamic Phase Transition of the Spherically Black Hole with Global Monopole Under GUP

Chen

Lin

2021

Int J Theor Phys

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

Cited by 5 publications

References 53 publications

Black hole corrections due to minimal length and modified dispersion relation

Black hole corrections due to minimal length and modified dispersion relation

Black Hole Corrections due to Minimal Length and Modified Dispersion Relation

Thermodynamic Phase Transition of the Spherically Black Hole with Global Monopole Under GUP

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