Hawking radiation of Kerr-de Sitter black holes using Hamilton-Jacobi method

Singh, T. Ibungochouba; Meitei, I. Ablu; Singh, Keisham Surjit

doi:10.1007/s10509-013-1380-y

Cited by 16 publications

(9 citation statements)

References 21 publications

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“…If λ = 0 and c t = c r , then Eq. (74) becomes 1 2 ∆S BH = 1 2 S BH (M − w) − 1 2 S BH (M ), which gives half of the Bekenstein-Hawking entropy near the event horizon of KdS black hole [23].…”

Section: Discussionmentioning

confidence: 99%

“…In such case, the value of specific heat capacity, C c is the half of the correct one given in Eq. (23). Case (ii): If…”

Section: Discussionmentioning

confidence: 99%

“…The locations of r + , r h and r − represent the cosmological horizon, event horizon and Cauchy horizon respectively. To investigate the Hawking radiation near the event horizon, ∆ r can be factorised as follows [23] ∆…”

Section: Lorentz Violation Theory and The Modified Hamilton-jacobi Eq...mentioning

confidence: 99%

“…The Hawking radiation of Schwartzschild black hole has been discussed in naive coordinate system and isotropic coordinate or invariant coordinate system. The Hawking radiations in different black holes have been derived using Hamilton-Jacobi equation [20][21][22][23]. Kerner and Mann [24] proposed the tunneling of spin-1/2 fermions near the event horizon of black hole using Dirac equation, Pauli Sigma matrixes and WKB approximation.…”

Section: Introductionmentioning

confidence: 99%

“…and the specific heat capacity decreases,C c = C p < C h if c T + 2c r < 0 (γ < 2), where C p and C h are the modified specific heat capacity(56) and original specific heat(23) respectively near the event horizon of KdS black hole. 78) becomes the specific heat capacity of KdS black hole given in Eq.…”

mentioning

confidence: 99%

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Modified entropy of Kerr-de Sitter black hole in Lorentz symmetry violation theory

Laxmi¹,

Singh²,

MEitei³

2021

Preprint

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The quantum tunneling radiation of scalar particles near the event horizon of Kerr-de Sitter black hole is investigated in three systems of coordinates namely naive coordinate system, Painleve coordinate system and Eddington coordinate system using Lorentz violation theory in curved space time. The Klein-Gordon equation of scalar particles is transformed into Hamilton-Jacobi equation by using Lorentz violation theory in curved space time. We observe that due to Lorentz violation theory, the expressions of Hawking temperatures, the Bekenstein-Hawking entropies and specific heat capacities near the event horizon of Kerr-de Sitter black hole are modified. The Hawking temperatures, entropies and specific heat capacities increase or decrease depending upon the choices of ether like vectors u α .

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Section: Discussionmentioning

confidence: 99%

“…In such case, the value of specific heat capacity, C c is the half of the correct one given in Eq. (23). Case (ii): If…”

Section: Discussionmentioning

confidence: 99%

Section: Lorentz Violation Theory and The Modified Hamilton-jacobi Eq...mentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

mentioning

confidence: 99%

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Modified entropy of Kerr-de Sitter black hole in Lorentz symmetry violation theory

Laxmi¹,

Singh²,

MEitei³

2021

Preprint

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Massive vector particle tunneling from Kerr-Newman-de Sitter black hole under generalized uncertainty principle

Singh

2023

J. High Energ. Phys.

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The quantum tunneling of charged massive vector boson particles across the event horizon of Kerr-Newman-de Sitter black hole is investigated under the influence of quantum gravity effects. The modified Hawking temperatures and heat capacities across the event horizon of KNdS black hole are derived in 3-dimensional and 4-dimensional frame dragging coordinates. It is found that due to quantum gravity effects the modified Hawking temperatures and heat capacities depend on the mass and angular momentum of the emitted vector boson particles. For 3-dimensional KNdS black hole, the modified Hawking temperature is lower than the original Hawking temperature but the modified heat capacity is higher than the original heat capacity due to quantum gravity effects. In the case of 4-dimensional KNdS black hole, the modified Hawking temperature and heat capacity are lower or greater than the original Hawking temperature and heat capacity depending upon the choices of black hole parameters due to quantum gravity effects. We also discuss the remnant and graphical analysis of the modified Hawking temperatures and heat capacities.

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