A New Method to Study the Hawking Radiation from the Kerr-NUT Black Hole

Abstract

Developing Hamilton-Jacobi method, we discuss the Hawking radiation of Kerr-NUT black hole by considering the self-gravitation interaction as well as the energy conservation and angular momentum conservation. The result shows that the factual spectrum deviates from the precisely thermal one and the tunneling rate is related to the change of Bekenstein-Hawking entropy, which is accordant with that obtained by Parikh and Wilczek's method and gives an interesting correction to the Hawking radiation of the black hole.

Hawking Non-thermal and Purely Thermal Radiations of Rotating Black Hole in Anti-de Sitter Space Time by Hamilton-Jacobi Method

“…Kerner and Mann promoted quantum tunneling methods for various black hole spacetime [41] and considering this process Chen, Zu and Yang [42] reformed Hamilton-Jacobi method for massive particle tunneling and investigate Hawking radiation of Kerr-NUT black hole [43], the charged black hole with a global monopole [44] and also applied to higher dimensional black holes [45], black holes in string theory [46] , black strings [47], accelerating and rotaing black holes [48] and many other black holes in references [49,50]. Following their work, several researches have been carried out as charged particle tunneling [10,16,51,52] and all the results supported Parikh and Wilczek's [6] opinion and gave a correction to the Hawking pure thermal spectrum.…”

Hawking radiation of Schwarzschild–de Sitter black hole by Hamilton–Jacobi method

“…Taking the self-gravitation interaction and unfixed background spacetime into account Chen, Zu and Yang reformed Hamilton-Jacobi method for massive particle tunneling and investigate the Hawking radiation of the Taub-NUT black hole [44]. Connecting this method Hawking radiation of Kerr-NUT black hole [45] and the charged black hole with a global monopole [46] have been developed. We apply these method to investigate the Hawking radiation of SdS black hole.…”

Hawking Radiations of Kerr-Newman Black Hole in de Sitter Spacetime by Hamilton-Jacobi Method

“…window first opened by Kraus and Wilczek [2][3][4][5] where a particle moves in a dynamical geometry and then formulated by many researchers [6,7-8, 9-10,11-14]. Recently, several works on rotating black holes [15][16][17][18][19][20][21][22][23][24][25][26][27][28][29][30] have been done by using Painleav´e or dragging or tortoise or Eddington-Finkelstein coordinate transformations but most of them are focus on studying Hawking radiation of massless/scalar particles tunneling from different rotating black holes. Here we have used the dragging coordinate transformation to obtain the same results from the Kerr-Newman-de Sitter (KNdS) black hole using massive particle tunneling process by expressing the event horizon of KNdS black hole in terms of black hole parameters in an infinite series and is very interesting point in this research.…”

“…Using 32 Utilizing (16), the relationship between the tunneling rate and the imaginary part of the action of the radiative particle for the KNdS black hole is given by…”