Hawking Temperature of the Reissner-Nordstrom-Vaidya Black Hole

Triyanta^1,2 & Anike N Bowaire^1
1Division of Theoretical High Energy Physics and Instrumentation, Faculty of Mathematics and Natural sciences, Institut Teknologi Bandung
Jalan Ganesha No. 10 Bandung 40132 Indonesia
²Indonesian Center for Theoretical and Mathematical Physics, Faculty of Mathematics and Natural Sciences, Institut Teknologi Bandung
Jalan Ganesha No. 10 Bandung 40132 Indonesia
Email: triyanta@fi.itb.ac.id

Abstract. We have derived the Hawking temperature of the Reissner-Nordstrom-Vaidya black hole by the use of both the radial null geodesic and the complex path methods. We have obtained that the mass dependence of the temperature in the Reissner-Nordstrom-Vaidya black hole is not as simple as that in the Schwarzschild black hole, but still we regain the conclusion, as in the case of the Schwarzschild black hole, that a higher Hawking temperature corresponds to a lower mass of a black hole. 

Keywords: black hole horizon; charged black hole; complex path; extreme Reissner-Nordstrom-Vaidya black hole; Hamilton-Jacobi equation; Hawking temperature; radial null geodesic; Reissner-Nordstrom-Vaidya black hole.