SEPARABILITY OF THE MASSIVE DIRAC EQUATION AND HAWKING RADIATION OF DIRAC PARTICLES IN THE CHARGED AdS–KERR–TAUB–NUT BLACK HOLE

2011 ◽  
Vol 26 (20) ◽  
pp. 1509-1520 ◽  
Author(s):  
PU-JIAN MAO ◽  
LIN-YU JIA ◽  
JI-RONG REN

We investigate the separability of massive Dirac equation in the charged AdS–Kerr–Taub–NUT black hole. It is shown that the Dirac equation can be separated by variables into purely radial and purely angular parts in this background spacetime. From the separated solutions for massive Dirac equation, a first-order symmetric operator that commutes with the Dirac operator is constructed and expressed in terms of Killing–Yano tensor admitted by the charged AdS–Kerr–Taub–NUT spacetime. Then the Hawking radiation of Dirac particles in the background of charged AdS–Kerr–Taub–NUT black hole is investigated via the Damour–Ruffini–Sannan method. It is shown that quantum thermal effect of the Dirac particles in the charged AdS–Kerr–Taub–NUT black hole has the same character with that of the scalar particles.

Author(s):  
Pu-Jian Mao ◽  
Ran Li ◽  
Lin-Yu Jia ◽  
Ji-Rong Ren

2013 ◽  
Vol 23 ◽  
pp. 271-275 ◽  
Author(s):  
M. SHARIF ◽  
WAJIHA JAVED

This paper is devoted to investigate the Hawking radiation as a tunneling phenomenon from the Reissner-Nordström-de Sitter black hole with a global monopole. We use the semiclassical WKB approximation to the general covariant charged Dirac equation and evaluate tunneling probability as well as Hawking temperature. We also study the back reaction effects of the emitted spin particles and Bekenstein-Hawking entropy corrections of fermions tunneling through horizon.


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.


2014 ◽  
Vol 23 (04) ◽  
pp. 1450030 ◽  
Author(s):  
JUN LIANG ◽  
FANG-HUI ZHANG ◽  
WEI ZHANG ◽  
JING ZHANG

By utilizing the improved Damour–Ruffini method with a new tortoise transformation, we study the Hawking radiation of Dirac particles from a general dynamical spherically symmetric black hole. In the improved Damour–Ruffini method, the position of the event horizon of the black hole is an undetermined function, and the temperature parameter κ is an undetermined constant. By requiring the Dirac equation to be the standard wave equation near the event horizon of the black hole, κ can be determined automatically. Therefore, the Hawking temperature can be obtained. The result is consistent with that of the Hawking radiation of scalar particles.


2009 ◽  
Vol 24 (08) ◽  
pp. 625-632 ◽  
Author(s):  
XIAOXIONG ZENG

We study Hawking radiation of fermions from a (4+n)-dimensional rotating black hole on the brane in terms of the fermions tunneling formalism, proposed by Kerner and Mann recently. To choose the Gamma matrices properly and avoid the ergosphere dragging effect, we perform it in the dragging coordinate frame. We obtain the tunneling rate and emission temperature of fermions which are consistent with the case of scalar particles as expected.


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