scholarly journals Hawking radiation as quantum tunneling from a noncommutative Schwarzschild black hole

2008 ◽  
Vol 25 (17) ◽  
pp. 175015 ◽  
Author(s):  
Kourosh Nozari ◽  
S Hamid Mehdipour
2018 ◽  
Vol 33 (27) ◽  
pp. 1850159 ◽  
Author(s):  
Shad Ali ◽  
Xin-Yang Wang ◽  
Wen-Biao Liu

Christodoulou and Rovelli have shown that the interior volume of a Schwarzschild black hole grows linearly with time. The entropy of a scalar field in this interior volume of a Schwarzschild black hole has been calculated and shown to increase linearly with the advanced time too. In this paper, considering Hawking radiation from a d-dimensional charged black hole, we investigate the proportional relation between the entropy of the scalar field in the interior volume and the Bekenstein–Hawking entropy using the method of our previous work. We also derive this proportionality relation using Hamiltonian analysis and find a consistent result. We then investigate the proportionality coefficient with respect to d and find that it gradually decreases as the dimension of space–time increases.


Author(s):  
Milad Hajebrahimi ◽  
Kourosh Nozari

Abstract In the language of black hole physics, Hawking radiation is one of the most controversial subjects about which there exist lots of puzzles, including the information loss problem and the question of whether this radiation is thermal or not. In this situation, a possible way to face these problems is to bring quantum effects into play, also taking into account self-gravitational effects in the scenario. We consider a quantum-corrected form of the Schwarzschild black hole inspired by the pioneering work of Kazakov and Solodukhin to modify the famous Parikh–Wilczek tunneling process for Hawking radiation. We prove that in this framework the radiation is not thermal, with a correlation function more effective than the Parikh–Wilczek result, and the information loss problem can be addressed more successfully. Also, we realize that quantum correction affects things in the same way as an electric charge. So, it seems that quantum correction in this framework has something to do with the electric charge.


Author(s):  
Grigory Volovik

The thermodynamics of black holes is discussed for the case, when the Newton constant G is not a constant, but is the thermodynamic variable. This gives for the first law of the Schwarzschild black hole thermodynamics: d S BH = − A d K + d M T BH , where the gravitational coupling K = 1 / 4 G , M is the black hole mass, A is the area of horizon, and T BH is Hawking temperature. From this first law it follows that the dimensionless quantity M 2 / K is the adiabatic invariant, which in principle can be quantized if to follow the Bekenstein conjecture. From the Euclidean action for the black hole it follows that K and A serve as dynamically conjugate variables. This allows us to calculate the quantum tunneling from the black hole to the white hole, and determine the temperature and entropy of the white 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.


Author(s):  
EL Boukili Abderrahman ◽  
Mourad Nach ◽  
Sedra Moulay Brahim

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.


1997 ◽  
Vol 12 (35) ◽  
pp. 2683-2689 ◽  
Author(s):  
W. Kummer ◽  
H. Liebl ◽  
D. V. Vassilevich

It is well known that spherically symmetric reduction of general relativity (SSG) leads to non-minimally coupled scalar matter. We generalize (and correct) recent results to Hawking radiation for a class of dilaton models which share with the Schwarzschild black hole non-minimal coupling of scalar fields and the basic global structure. An inherent ambiguity of such models (if they differ from SSG) is discussed. However, for SSG we obtain the rather disquieting result of a negative Hawking flux at infinity, if the usual recipe for such calculations is applied.


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