A charged rotating black ring
Abstract
We construct a supergravity solution describing a charged rotating black ring with an S2×S1 horizon in a five-dimensional asymptotically flat spacetime. In the neutral limit the solution is the rotating black ring recently found by Emparan and Reall. We determine the exact value of the lower bound on J2/M3, where J is the angular momentum and M the mass; the black ring saturating this bound has a maximum entropy for the given mass. The charged black ring is characterized by a mass M, angular momentum J, and electric charge Q, and it also carries local fundamental string charge. The electric charge distributed uniformly along the ring helps support the ring against its gravitational self-attraction, so that J2/M3 can be made arbitrarily small while Q/M remains finite. The charged black ring has an extremal limit in which the horizon coincides with the singularity.
- Publication:
-
Physical Review D
- Pub Date:
- December 2003
- DOI:
- arXiv:
- arXiv:hep-th/0305247
- Bibcode:
- 2003PhRvD..68l4016E
- Keywords:
-
- 04.70.Bw;
- 04.20.Jb;
- 04.50.+h;
- 04.65.+e;
- Classical black holes;
- Exact solutions;
- Gravity in more than four dimensions Kaluza-Klein theory unified field theories;
- alternative theories of gravity;
- Supergravity;
- High Energy Physics - Theory;
- General Relativity and Quantum Cosmology
- E-Print:
- 25 pages, 1 figure