Nonextremal black holes are BPS
Abstract
Extremal charged black holes are BPS solutions. It is commonly thought that their nonextremal counterparts are not. Further, experience with BPS solutions in flat spacetime suggests that all BPS solutions are supersymmetric; i.e. that they are invariant under some supersymmetry charges of either the original field theory or an appropriately extended version thereof. Using nonextremal Reissner-Nordström black holes as counterexamples, we show that neither of these expectations is universally valid. These black holes correspond to a one-parameter family of BPS solutions. By showing that, subject to one very plausible assumption, no generalized Killing spinor can be constructed for these, we show that there is no supergravity theory for which these BPS solutions preserve a fraction of the supersymmetry, nor is there an associated Witten-Nester positive energy bound.
- Publication:
-
Physical Review D
- Pub Date:
- August 2007
- DOI:
- 10.1103/PhysRevD.76.044001
- arXiv:
- arXiv:hep-th/0612308
- Bibcode:
- 2007PhRvD..76d4001M
- Keywords:
-
- 04.70.Bw;
- 04.40.Nr;
- 04.65.+e;
- Classical black holes;
- Einstein-Maxwell spacetimes spacetimes with fluids radiation or classical fields;
- Supergravity;
- High Energy Physics - Theory
- E-Print:
- LaTeX, 14 pages. Discussion in sec 2.3 amended, small corrections, reference added