Charged fermions tunnelling from Kerr–Newman black holes

Kerner, Ryan; Mann, Robert B.

doi:10.1016/j.physletb.2008.06.012

Cited by 288 publications

(242 citation statements)

References 40 publications

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“…Due to very small value of the Planck constant, the terms for n ≥ 1 can be neglected. (Siahaan & Triyanta, 2010;Kerner & Mann, 2008). Substituting the action expansion into wave function in equation (15) and the Dirac in equation (11), the solutions can be obtained.…”

Section: Dirac Particles Emissionmentioning

confidence: 99%

Dirac Particles Emission from An Elliptical Black Hole

Tiandho

2017

IJOST

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According to the general theory of relativiy, a black hole is defined as a region of spacetime with super-strong gravitational effects and there is nothing can escape from it. So in the classical theory of relativity, it is safe to say that black hole is a "dead" thermodynamical object. However, by using quantum mechanics theory, Hawking has shown that a black hole may emit particles. In this paper, calculation of temperature of an elliptical black hole when emitting the Dirac particles was presented. By using the complexpath method, radiation can be described as emission process in the tunneling pictures. According to relationship between probability of outgoing particle with the spectrum of black body radiation for fermion particles, temperature of the elliptical black hole can be obtained and it depend on the azimuthal angle. This result also showed that condition on the surface of elliptical black hole is not in thermal equilibrium.

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Section: Dirac Particles Emissionmentioning

confidence: 99%

Dirac Particles Emission from An Elliptical Black Hole

Tiandho

2017

IJOST

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“…Adopting the Ashtekar's variables and using the metric (2.26), the Einstein-Hilbert action is rewritten as 30) where F ab is a field strength of the connection A i a and N , N a , λ i are Lagrange multipliers. Since the general relativity is a totally constrained system, the Hamiltonian of the action equals zero and it is only a linear combination of some constraints.…”

Section: The Viewpoint Of Loop Quantum Gravitymentioning

confidence: 99%

Effects of quantum gravity on black holes

Chen

Yang

et al. 2014

Int. J. Mod. Phys. A

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In this review, we discuss effects of quantum gravity on black hole physics. After a brief review of the origin of the minimal observable length from various quantum gravity theories, we present the tunneling method. To incorporate quantum gravity effects, we modify the Klein-Gordon equation and Dirac equation by the modified fundamental commutation relations. Then we use the modified equations to discuss the tunneling radiation of scalar particles and fermions. The corrected Hawking temperatures are related to the quantum numbers of the emitted particles. Quantum gravity corrections slow down the increase of the temperatures. The remnants are observed as M Res. The mass is quantized by the modified Wheeler-DeWitt equation and is proportional to n in quantum gravity regime. The thermodynamical property of the black hole is studied by the influence of quantum gravity effects.

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“…For calculations of the tunneling probability, it is simple to use a WKB approximation. It should be noted that one can ignore the higher-order terms (and use only a linear-order expansion), which have a selfinteraction effect that results from the conservation of energy [18][19][20][21]. One of the methods for finding is the HJ method.…”

Section: Introductionmentioning

confidence: 99%

The Bekenstein-Hawking Corpuscular Cascading from the Back-Reacted Black Hole

Овгун

2017

Advances in High Energy Physics

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Exciting peculiarities of Planck-scale physics have immediate effects on the Bekenstein-Hawking radiation emitted from black holes (BHs). In this paper, using the tunneling formalism, we determine the Bekenstein-Hawking temperature for the vector particles from a back-reacted black hole (BBH) constructed from a conformal scalar field surrounded by a BTZ (Banados-Teitelboim-Zanelli) BH. Then, under the effect of the generalized uncertainty principle, we extend our calculations for scalar particles to understand the effects of quantum gravity. Then, we calculate an evaporation time for the BBH, the total number of Bekenstein-Hawking particles, and the quantum corrections of the number. We observe that remnants of the BH evaporation occur and that they affect the Bekenstein-Hawking temperature of the BBH as well as the total number of Bekenstein-Hawking particles.

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Charged fermions tunnelling from Kerr–Newman black holes

Abstract: We consider the tunnelling of charged spin-1 2 fermions from a Kerr-Newman black hole and demonstrate that the expected Hawking temperature is recovered. We discuss certain technical subtleties related to the obtention of this result.

Cited by 288 publications

References 40 publications

Dirac Particles Emission from An Elliptical Black Hole

Dirac Particles Emission from An Elliptical Black Hole

Effects of quantum gravity on black holes

The Bekenstein-Hawking Corpuscular Cascading from the Back-Reacted Black Hole

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