Caltech/UCLA Joint Analysis Seminar

LOCATION:  UCLA MS 6221

We consider the stationary Lorentzian metrics that have both the black hole and the ergoregion. We study the Cauchy problem with highly oscillatory initial data supported in a neighborhood contained inside the ergoregion with some initial energy E_p.

We choose the initial data such that when the time variable x_0 increases the solution splits into two parts: one with negative energy -E_1 and the second part has the energy E_2 = E_1 + E_0 > E_0. Thus the superradiance phenomenon takes place. We ashow that the superradiance holds also in the case of naked singularity, i.e. when there is no black hole.