scholarly journals CHARGED PARTICLES' TUNNELING FROM A NONCOMMUTATIVE CHARGED BLACK HOLE

2010 ◽  
Vol 25 (30) ◽  
pp. 5543-5555 ◽  
Author(s):  
S. HAMID MEHDIPOUR

We apply the tunneling process of charged massive particles through the quantum horizon of a Reissner–Nordström black hole in a new noncommutative gravity scenario. In this model, the tunneling amplitude on account of noncommutativity influences in the context of coordinate coherent states is modified. Our calculation points out that the emission rate satisfies the first law of black hole thermodynamics and is consistent with an underlying unitary theory.

2007 ◽  
Vol 16 (05) ◽  
pp. 847-855 ◽  
Author(s):  
YAPENG HU ◽  
JINGYI ZHANG ◽  
ZHENG ZHAO

Originally, Parikh and Wilczek's work is only suitable for the massless particles' tunneling. But their work has been further extended to the cases of massive uncharged and charged particles' tunneling recently. In this paper, as a particular black hole solution, we apply this extended method to reconsider the tunneling effect of the Horowitz–Strominger Dilaton black hole. We investigate the behavior of both massive uncharged and charged particles, and respectively calculate the emission rate at the event horizon. Our result shows that their emission rates are also consistent with the unitary theory. Moreover, comparing with the case of massless particles' tunneling, we find that this conclusion is independent of the kind of particles. And it is probably caused by the underlying relationship between this method and the laws of black hole thermodynamics.


2019 ◽  
Vol 59 (1) ◽  
Author(s):  
Gu-Qiang Li ◽  
Yan-Yi Ou ◽  
Ze-Tao Lin

The Hawking radiation of charged particles from black holes in the Hořava–Lifshitz (HL) gravity is investigated by using the Parikh–Wilczek (PW) method, and the emission rate is calculated. The emission spectrum is not purely thermal and is consistent with an underlying unitary theory. Some other characteristics exist for a HL gravity black hole. Assuming the conventional tunnelling rate associated with the change of entropy, the entropy of the HL gravity black hole is obtained. The entropy is not proportional to the horizon area because a logarithmic term exists. However, it complies with the first law of thermodynamics and is in accord with earlier results.


2010 ◽  
Vol 25 (04) ◽  
pp. 295-308 ◽  
Author(s):  
YA-PENG HU ◽  
JING-YI ZHANG ◽  
ZHENG ZHAO

Since Parikh and Wilczek's tunneling method was proposed, there have been many generalizations, such as its application to massive charged particles' tunneling and other spacetimes. Moreover, an invariant tunneling method was also recently proposed by Angheben et al. that it was independent of coordinates. However, there are some subtleties in the calculation of Hawking radiation, and particularly the so-called factor of 2 problem during the calculation of the Hawking temperature. The most popular opinion on this problem is that it is just a problem of the choice of coordinates. However, following other treatments we show that we can also consider this problem to be that we do not consider the contribution from P(absorption). Moreover, we also clarify some subtleties in the balance method and give some comparisons with other treatments. In addition, as Parikh and Wilczek's original works have showed that if one takes the tunneling particles' back-reaction into account, the Hawking radiation would be modified, and this modification is underlying consistent with the unitary theory, we further find that this modification is also underlying correlated with the laws of black hole thermodynamics. Furthermore, we show that this tunneling method may be valid just when the tunneling process is reversible.


2006 ◽  
Vol 21 (28) ◽  
pp. 2143-2149 ◽  
Author(s):  
YAPENG HU ◽  
JINGYI ZHANG ◽  
ZHENG ZHAO

In the past, Hawking radiation was viewed as a tunneling process and the barrier was just created by the outgoing particle itself. In this paper, Parikh's recent work is extended to the case of massive particles' tunneling. We investigate the behavior of the tunneling massive particles from a particular black hole solution — G.H. Dilaton black hole which is obtained from the string theory, and calculate the emission rate at which massive particles tunnel across the event horizon. We obtain that the result is also consistent with an underlying unitary theory. Furthermore, the result takes the same functional form as that of massless particles.


2016 ◽  
Vol 94 (12) ◽  
pp. 1369-1371 ◽  
Author(s):  
Gu-Qiang Li

The tunneling radiation of particles from Born–Infeld anti-de Sitter black holes is studied by using the Parikh–Wilczek method and the emission rate of a particle is calculated. It is shown that the emission rate is related to the change of the Bekenstein–Hawking entropy of the black hole and the emission spectrum deviates from the purely thermal spectrum but is consistent with an underlying unitary theory.


2015 ◽  
Vol 30 (28n29) ◽  
pp. 1545017 ◽  
Author(s):  
Sang Pyo Kim

We present a unified picture for the Schwinger effect and the Hawking radiation and address the gauge–gravity relation and the dS–AdS duality issue at the one-loop level. We propose a thermal interpretation for the Schwinger effect in an (A)dS space and in an Reissner–Nordström black hole. The emission of charged particles from the near-extremal charged black hole is proportional to the Schwinger effect in an AdS and to another Schwinger effect in a Rindler space accelerated by the surface gravity.


2012 ◽  
Vol 538-541 ◽  
pp. 2169-2174
Author(s):  
Qing Quan Jiang

In this paper, when considering the conservation of energy, electric charge and angular momentum, we develop the Parikh-Wilczek’s quantum tunneling method to study the Hawking radiation of charged particles via tunneling from the event horizon of Kim black hole. The result shows the exact radiation spectrum deviates from the precisely thermal one, but satisfies an underlying unitary theory, which provides a possible solution to the information loss during the black hole evaporation.


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