GUP and higher dimensional Reissner-Nordström black hole radiation

Dehghani, M.; Farmany, Abbas

doi:10.1590/s0103-97332009000500011

Cited by 12 publications

(10 citation statements)

References 38 publications

(17 reference statements)

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“…It is shown that usual uncertainty principle receives a modification at the microphysics regime [36][37][38][39][40][41][42][43][44][45],…”

Section: Gup and Black Hole Thermodynamicsmentioning

confidence: 99%

Corrected Black Hole’s Thermodynamics and Tunneling Radiation with Generalized Uncertainty Principle and Modified Dispersion Relation

Dehghani

2010

Int J Theor Phys

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Although the tunneling approach is well established for black hole radiation, much works have been done to support the extension of this approach to more general situations. In this article the Parikh-Kraus-Wilczek tunneling proposal of black hole radiation is considered. The black hole thermodynamics and tunneling radiation are studied, based on both, the generalized uncertainty principle and the modified dispersion relation analysis. It is shown that entropy, temperature and the original Parikh-Kraus-Wilczek tunneling radiation calculation receives new corrections. it has been shown that the results of this two alternative approaches are identical if one uses the suitable expansion coefficients.

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“…It is shown that usual uncertainty principle receives a modification at the microphysics regime [36][37][38][39][40][41][42][43][44][45],…”

Section: Gup and Black Hole Thermodynamicsmentioning

confidence: 99%

Corrected Black Hole’s Thermodynamics and Tunneling Radiation with Generalized Uncertainty Principle and Modified Dispersion Relation

Dehghani

2010

Int J Theor Phys

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“…They showed that, based on the generalized uncertainty principle, the hawking temperature receives a correction. Other derivations of this proposal are obtained in (Han et al 2008;Farmany et al 2008;Shu and Shen 2008;Fu et al 2008;Kim and Park 2007;Nouicer 2007;Ren and Zhang 2006;Xiang 2006;Farmany et al 2009;Farmany et al 2011aFarmany et al , 2011bFarmany 2009b, 2009b;Dehghani and Farmany 2010).…”

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confidence: 87%

Thermodynamics of Vaidya-Bonner-de Sitter space time based on the generalized space-time uncertainty

Farmany

2011

Astrophys Space Sci

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In each static or stationary space time k is just surface gravity of the horizon, but in the of Vaidya-Bonnerde Sitter space time, it is no longer the surface gravity of the event horizon. This property makes the VaidyaBonner as an important horizon. In this paper, the entropy of Vaidya-Bonner-de Sitter space time is calculated. In continue, employing the generalized uncertainty principle, quantum gravitational corrections to the entropy of VaidyaBonner space time is studied.It is interesting that without calculating the energy-momentum tensor of evaporating black hole we calculate the temperature of its event horizon. The of Vaidya-Bonner-de Sitter calculation is the simple method that without calculating the vacuum expectation value of the renormalized energymomentum tensor, we can determine the horizon's temperature. In this scenario, the Klein-Gordon equation can be reduced to the standard form of wave equation in the tortoise coordinate of the Schwarzschild space time. However in a non-static space time Zheng-Dai approaches give the horizon's temperature. Recently this method have received much attention (Zheng and Xianxin 1992;Zheng et al. 1994;Damour and Ruffini 1976;Balbinot 1986;Hiscock 1981). On the other hand, some property of the Vaidya-Bonner space time differ it with other space times.A. Farmany ( ) Young Researchers Club, Hamedan Branch, Islamic Azad University, For example, in each static or stationary space time k is just the surface gravity of the horizon, but in the VaidyaBonner-de Sitter space time, it is no longer the surface gravity of event horizon and the cosmic horizon. This property makes the Vaidya-Bonner solution as an important horizon (Chen and Yang 2007;Liu et al. 2003;Li and Zhao 2001;Lin and Yang 2009;Zhou and Liu 2009;Li et al. 1999;Niu and Liu 2010). In this letter, we calculate the entropy of the Vaidya-Bonner-de Sitter space time. Let we begin with the Vaidya-Bonner-de Sitter solution,Where ς = 2m r + Q 2 r 2 + λr 2 3 and λ is the cosmological constant. Not that mass and charge are Eddington-Finkelstein time ν dependent. , Wanglin et al. (2007 the Hawking temperature of the Vaidya-Bonner-de Sitter event horizon is obtained from a solution to the surface gravity of this space time,The black hole entropy is usually derived from the Hawking temperature. Setting M to mean energy and T to mean temperature, the entropy may defined from the well-known thermodynamics relation as,Inserting (2) into (3), one find dM dS = r − m − 2 3 λr 2 − 2rṙ 2πK B ςr 2 (4)

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“…It is shown that usual uncertainty principle receives a modification at the microphysics regime [37][38][39][40][41][42][43][44],…”

Section: Gup and Black Hole Thermodynamicsmentioning

confidence: 99%

Comparison of Approaches to Quantum Gravitational Corrections on the Reissner-Nordström-de Sitter Black Hole Tunneling Radiation

Dehghani

Farmany

2010

Int J Theor Phys

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Although the tunneling approach is fully established for black hole radiation, much work has been done to support the extension of this approach to more general settings. In this letter the Parikh-Kraus-Wilczeck tunneling proposal of black hole tunneling radiation is considered. The Reissner-Nordström-de Sitter black hole thermodynamics is studied according to the generalized uncertainty principle and the modified dispersion relation analysis. It is shown that entropy, temperature and the original Parikh-Kraus-Wilczek calculations of the black hole tunneling probability receive new corrections. The results are compared and it is shown that these two alternative approaches lead to the same results if one uses the suitable expansion coefficients.

show abstract

GUP and higher dimensional Reissner-Nordström black hole radiation

Cited by 12 publications

References 38 publications

Corrected Black Hole’s Thermodynamics and Tunneling Radiation with Generalized Uncertainty Principle and Modified Dispersion Relation

Corrected Black Hole’s Thermodynamics and Tunneling Radiation with Generalized Uncertainty Principle and Modified Dispersion Relation

Thermodynamics of Vaidya-Bonner-de Sitter space time based on the generalized space-time uncertainty

Comparison of Approaches to Quantum Gravitational Corrections on the Reissner-Nordström-de Sitter Black Hole Tunneling Radiation

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