Fermionic Wigs for BTZ Black Holes
High Energy Physics - Theory
2015-06-11 v1
Abstract
We compute the wig for the BTZ black hole, namely the complete non-linear solution of supergravity equations with all fermionic zero modes. We use a "gauge completion" method starting from AdS_3 Killing spinors to generate the gravitinos fields associated to the BH and we compute the back-reaction on the metric. Due to the anticommutative properties of the fermionic hairs the resummation of these effects truncates at some order. We illustrate the technique proposed in a precedent paper in a very explicit and analytical form. We also compute the mass, the angular momentum and other charges with their corrections.
Cite
@article{arxiv.1209.4100,
title = {Fermionic Wigs for BTZ Black Holes},
author = {L. G. C. Gentile and P. A. Grassi and A. Mezzalira},
journal= {arXiv preprint arXiv:1209.4100},
year = {2015}
}
Comments
11 pages, no figures