Semiclassical Methods for Hawking Radiation From a Vaidya Black Hole

Abstract

We derive the general form of Hawking temperature for Vaidya black hole in the tunneling pictures. This kind of black hole is regarded as the description of a more realistic one since it's time dependent decreasing mass due to the evaporation process. Clearly, the temperature would be time dependent as our findings.We use the semiclassical methods, namely radial null geodesic and complex paths methods. Both methods are found to give the same results. Then, we discuss the possible form of corresponding entropy.PACS numbers: 04.70.Dy ; 03.65.Sq * Some findings in this work had already been worked out in [26].Accepted for publication in Int. J. Mod. Phys. A † Electronic address: anto˙102@students.itb.ac.id ‡ Electronic address: triyanta@fi.itb.ac.id

Dirac Particles Emission from An Elliptical Black Hole

“…Due to very small value of the Planck constant, the terms for n ≥ 1 can be neglected. (Siahaan & Triyanta, 2010;Kerner & Mann, 2008). Substituting the action expansion into wave function in equation (15) and the Dirac in equation (11), the solutions can be obtained.…”

“…This method is one of the semiclassical methods. This method works according to tunneling mechanism (Siahaan & Triyanta, 2010). In this method, the wavefunction is determined by the ansatz according to its action, and the solution can be obtained through the Hamilton-Jacobi method.…”

Hawking radiation as tunneling from a Vaidya black hole in noncommutative gravity

“…Now we are ready to consider the Hawking temperature of such a black hole (see [24] for a more detailed discussion of the semiclassical methods to derive the Hawking temperature in the Vaidya black hole). From the expression T H = κ 2π = 1 4π F ′ (t, r H ) t , the noncommutative Hawking temperature including the time-dependent part is given by…”

“…But there is no analytical solution for entropy from the first law of classical black hole thermodynamics dM = T H dS, even if we set r H = 2M I in Eq. (24). Now, we want to calculate the Hawking temperature in an approximate way to find the analytical form of the entropy as follows:…”

Hawking Temperature of the Reissner-Nordstrom-Vaidya Black Hole

“…Hawking radiation is a hot topic that has been discussed in a number of papers on gravity, including some that were published very recently [9][10][11][12][13][14][15][16]. Previously, we have derived the Hawking temperature of a Vaidya black hole by the use of both methods mentioned before [17]. A Vaidya black hole is a black hole of which the mass depends on radius and time, thus, in the case of the radiation aspect of black holes, it is more realistic as compared to a static one.…”