Hawking radiation and Dirac quasinormal modes of 3D EMD\(\Lambda\) black holes (Q1770110)

The author applies the complex paths method and the Damour-Ruffini method to some metrics \(M\) circular symmetric in the three dimension that are not of Schwarzschild type in the plane \((t,r)\) found by Chain and Mann. The results obtained for the Hawking temperature and for the distribution of the particles emitted by the black holes \(M\) agree with the results previously published which were obtained using other procedures. Also, the author exactly calculates the quasinormal frequencies of the massless Dirac field moving on a particular black hole of this family and it can be noted that some modes of the Dirac field and of the scalar field, both massless, are unstable, that is, their amplitudes increase with the time.