Abstract. We derive the Hawking temperature for both the Vaidya and the Reissner-Nordstrom-Vaidya black holes in two methods, the radial null geodesic method and the complex path method. Both black holes differ in some ways including the charge content and the number of horizons: the Vaidya black hole is charge-less and it has a single horizon while the Reissner-Nordstrom-Vaidya black hole is charged and it has two horizons. We obtain that the Hawking temperature for both black holes depends on their masses and on the radial change of their masses. Black hole with greater mass has a lesser Hawking temperature. We also obtain that there is a condition that should be fulfilled in order to guaranty positive values of the Hawking temperature. Some special cases for the Reissner-Nordstrom-Vaidya black hole are also discussed.
Abstract.We have derived the Hawking temperature of the ReissnerNordstrom-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.
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