Hawking radiation temperatures in non-stationary Kerr black holes with different tortoise coordinate transformations

Lan, X. G.; Jiang, Qing-Quan; Wei, L. F.

doi:10.1140/epjc/s10052-012-1983-4

Cited by 15 publications

(6 citation statements)

References 22 publications

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“…However, using tortoise coordinate transformation, the Dirac equation and Maxwell's electromagnetic field equations can be separated for stationary and nonstationary black holes. Following this method, many studies have been conducted [9][10][11][12][13][14]. [15] studied the Hawking radiation as a quantum tunneling process and this method is known as the null geodesic method.…”

Section: Introductionmentioning

confidence: 99%

GUP effects on Hawking temperature in Riemann space-time

Meitei¹,

Singh²,

Meitei³

2020

Turk J Phys

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In this paper, the modified Hawking temperature of a static Riemann space-time is studied using the generalized Klein-Gordon equation and the generalized Dirac equation. Applying the Kerner-Mann quantum tunneling method, the modified Hawking temperatures for scalar particles and fermions that cross the event horizon of the black hole have been derived. We observe that the quantum gravity effects reduce the rise of thermal radiation temperature of the black hole.

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Section: Introductionmentioning

confidence: 99%

GUP effects on Hawking temperature in Riemann space-time

Meitei¹,

Singh²,

Meitei³

2020

Turk J Phys

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“…According to Refs. [40][41][42][43][44][45][46], the generalized tortoise coordinate transformation is defined as…”

Section: Introductionmentioning

confidence: 99%

“…According to Ref. [43,46], the correction rate under the different tortoise coordinate transformations is given by Υ(u 0 , θ 0 , φ 0 ) = 2(g jk r h,j r h,k − g 1j r h,j ) r h ( ∂g 11 ∂r − 2 ∂g 1j ∂r r h,j + ∂g jk ∂r r h,j r h,k )…”

Section: Introductionmentioning

confidence: 99%

Quantum Radiation Properties of General Nonstationary Black Hole

Singh

2017

Advances in High Energy Physics

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Using the generalized tortoise coordinate transformations the quantum radiation properties of Klein-Gordon scalar particles, Maxwell's electromagnetic field equations and Dirac equations are investigated in general non-stationary black hole. The locations of the event horizon and the Hawking temperature depend on both time and angles. A new extra coupling effect is observed in the thermal radiation spectrum of Maxwell's equations and Dirac equations which is absent in the thermal radiation spectrum of scalar particles. We also observe that the chemical potential derived from scalar particles is equal to the highest energy of the negative energy state of the scalar particle in the non-thermal radiation in general non-stationary black hole. Applying generalized tortoise coordinate transformation a constant term ξ is produced in the expression of thermal radiation in general non-stationary black hole. It indicates that generalized tortoise coordinate transformation is more accurate and reliable in the study of thermal radiation of black hole.

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“…Damour and Ruffini [18] and Sannan [19] proposed tortoise coordinate transformation to study the Hawking radiation applying quantum mechanics in curved space time and made much progress. [20][21][22][23][24][25][26][27][28][29] The organization of this paper is as follows. In Section 2, we study the Hawking radiation of the stationary Kerr-de Sitter black hole in Painleve coordinates using the Hamilton-Jacobi equation.…”

Section: Introductionmentioning

confidence: 99%

“…which indicates that the different tortoise coordinate transformations correspond to the different Hawking radiation temperatures in non-stationary black hole space time. [26] 6. Conclusions…”

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confidence: 99%

Hawking radiation of stationary and non-stationary Kerr–de Sitter black holes

Singh¹

2015

Chinese Phys. B

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Hawking radiation of the stationary Kerr–de Sitter black hole is investigated using the relativistic Hamilton–Jacobi method. Meanwhile, extending this work to a non-stationary black hole using Dirac equations and generalized tortoise coordinate transformation, we derived the locations, the temperature of the thermal radiation as well as the maximum energy of the non-thermal radiation. It is found that the surface gravity and the Hawking temperature depend on both time and different angles. An extra coupling effect is obtained in the thermal radiation spectrum of Dirac particles which is absent from thermal radiation of scalar particles. Further, the chemical potential derived from the thermal radiation spectrum of scalar particle has been found to be equal to the highest energy of the negative energy state of the scalar particle in the non-thermal radiation for the Kerr–de Sitter black hole. It is also shown that for stationary black hole space time, these two different methods give the same Hawking radiation temperature.

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Hawking radiation temperatures in non-stationary Kerr black holes with different tortoise coordinate transformations

Cited by 15 publications

References 22 publications

GUP effects on Hawking temperature in Riemann space-time

GUP effects on Hawking temperature in Riemann space-time

Quantum Radiation Properties of General Nonstationary Black Hole

Hawking radiation of stationary and non-stationary Kerr–de Sitter black holes

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