Hawking Radiation of Charged Particles as Tunneling from Kim Black Hole

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.

2012 ◽  
Vol 170-173 ◽  
pp. 2940-2943
Author(s):  
Qing Quan Jiang

In Anti-de Sitter space-time, we develop the Parikh-Wilczek’s semi-classical quantum tunneling method to investigate the Hawking radiation of the charged massive particle via tunneling from a plane symmetry black hole. The result shows that, when taking self-gravitation interaction into account, the tunneling rate of the charged massive particle is related to the change of Bekenstein-Hawking entropy, and that the exact emission spectrum is not strictly pure thermal, but is consistent with the underlying unitary theory.


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.


2007 ◽  
Vol 16 (08) ◽  
pp. 1295-1301 ◽  
Author(s):  
DEYOU CHEN ◽  
SHUZHENG YANG

Taking the self-gravitational interaction and unfixed background space–time into account, we discuss the tunneling radiation of the Dilaton–Maxwell black hole by the Hamilton–Jacobi method. The result shows that the tunneling rate is related not only to the change of Bekenstein–Hawking entropy, but also to a subtle integral about the black hole mass, which does not satisfy the unitary theory and is different from Parikh and Wilczek's result. This implies that information loss in black hole evaporation is possible.


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.


2013 ◽  
Vol 2013 ◽  
pp. 1-6 ◽  
Author(s):  
Ge-Rui Chen ◽  
Yong-Chang Huang

Considering energy conservation and the back reaction of radiating particles to the spacetime, we investigate the massive Dirac particles' Hawking radiation from a general static Riemann black hole using improved Damour-Ruffini method. A direct consequence is that the radiation spectrum is not strictly thermal. The correction to the thermal spectrum is consistent with an underlying unitary quantum theory and this may have profound implications for the black hole information loss paradox.


2013 ◽  
Vol 647 ◽  
pp. 918-922
Author(s):  
Hui Ling Li ◽  
Cheng Cheng ◽  
Yan Ge Wu

Extending the Parikh’s method of quantum tunneling radiation, Hawking radiation via tunneling from the cosmological horizon of NUT-Kerr-Newman de Sitter black hole is deeply studied. The result shows that the tunneling rate on the cosmological horizon is related to the change of Bekenstein-Hawking entropy and the real spectrum is not strictly thermal at all, but is consistent with an underlying unitary theory.


2013 ◽  
Vol 22 (07) ◽  
pp. 1350037 ◽  
Author(s):  
R. TORRES ◽  
F. FAYOS ◽  
O. LORENTE-ESPÍN

We consider the emission of Hawking radiation by black holes as a consequence of a tunneling process. By requiring energy conservation in the derivation of the emission rate we get a well-known deviation from an exact thermal spectrum. A model that takes into account the implications of energy conservation, as well as the back-scattered radiation, is then constructed in order to describe the evolution of black holes as they evaporate. The evaporation process in this model is compared with the results in the standard "thermal" approximation. This allows us to point out the relevance that energy conservation might have in the last stages of black hole evaporation. We also comment about the possible implications of energy conservation in the information loss paradox.


2007 ◽  
Vol 22 (34) ◽  
pp. 2611-2616 ◽  
Author(s):  
DEYOU CHEN ◽  
SHUZHENG YANG

Using the Hamilton–Jacobi method, we discuss the Hawking radiation of the Kerr black hole. The result shows when the self-gravitational interaction as well as the conservation of energy and angular momentum are taken into account, the radiation spectrum deviates from the purely thermal one and the tunneling probability is related to the change of Bekenstein–Hawking entropy, which is in accordance with Parikh and Wilczek's result and gives a method to study the Hawking radiation of the black hole.


2006 ◽  
Vol 21 (24) ◽  
pp. 1865-1868 ◽  
Author(s):  
JINGYI ZHANG ◽  
YAPENG HU ◽  
ZHENG ZHAO

Parikh–Wilczek tunnelling framework is investigated again. We argue that Parikh–Wilczek's treatment, which satisfies the first law of black hole thermodynamics and consists with an underlying unitary theory, is only suitable for a reversible process. Due to the negative heat capacity, an evaporating black hole is a highly unstable system. That is, the factual emission process is irreversible, the unitary theory will not be satisfied and information loss is possible.


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