Aspects of the BTZ black hole interacting with fields

Abstract

We show that there is no superradiance for the Dirac field in the rotating BTZ black hole if the field vanishes at infinity. Then we outline the calculation of the expression for the renormalized energy-momentum tensor, the effective action as well as the heat kernel for the Dirac field for the BTZ black hole. Finally we point out how to construct the Hartle-Hawking-Israel state for the real scalar field in the non-rotating BTZ black hole in two and three dimensions.

Adiabatic analysis of the rotating BTZ black hole

“…This way, they regain the usual three-dimensional Smarr formula by exploiting the scaling symmetry of this reduced action. Moreover, rotating BTZ black holes have been shown to exhibit no kind of superradiance, if the considered Dirac fields vanish at infinity [47].…”

Adiabatic analysis of the rotating BTZ black hole

“…This way, they regain the usual three-dimensional Smarr formula by exploiting a scaling symmetry of this reduced action. Moreover, the rotating BTZ black holes, have been shown to exhibit no kind of superradiance, if the considered Dirac fields vanish at infinity [45].…”