Higher spins tunneling from a time dependent and spherically symmetric black hole

Abstract

The discussions of Hawking radiation via tunneling method have been performed extensively in the case of scalar particles. Moreover, there are also several works in discussing the tunneling method for Hawking radiation by using higher spins, e.g. neutrino, photon, and gravitino, in the background of static black holes. Interestingly, it is found that the Hawking temperature for static black holes using the higher spins particles has no difference compared to the one computed using scalars. In this paper, we study the Hawking radiation for a spherically symmetric and time dependent black holes using the tunneling of Dirac particles, photon, and gravitino. We find that the obtained Hawking temperature is similar to the one derived in the tunneling method by using scalars.

Tunnelling of Massive/Massless Bosons from the Apparent Horizon of FRW Universe

“…In this section, we shall focus on tunnelling of photon particles using the HJ method [35,36]. The action without the gauge fixing term is given as follows:…”

Universality of tunneling particles in Hawking radiation

“…1 The main drawback of the complex path method is to hide this fact, in that the computations depend strongly on the tunnelling particle under consideration (and in particular on its spin, since the starting point is the equation of motion of the associated field). Nonetheless it has been checked explicitly case by case for many backgrounds that the tunnelling of particles with different spins (mostly s = 0, 1/2, 1, but also s = 3/2, 2 in some instances) always yields the same temperature, see [9][10][11][12][13][14][15] for a selected sample and references therein for more details. As a consistency check, it would be desirable to establish the universality of the Hawking temperature in the complex path formalism in full generality.…”