Static brane--like vacuum solutions in D \ge 5 dimensional spacetime with positive ADM mass but no horizon
arXiv:1111.1897
Abstract
We describe static, brane--like, solutions to vacuum Einstein's equations in D = n + m + 2 dimensional spacetime with m \ge 2 and n \ge 1. These solutions have positive ADM mass but no horizon. The curvature invariants are finite everywhere except at r = 0 where r is the radial coordinate in the m + 1 dimensional space. The presence of n \ge 1 extra dimensions is crucial for these properties. Such solutions may be naturally anticipated if Mathur's fuzzball proposal for black holes is correct.
17 pages. Curvature components and more references added. Version 4: corrected an error in the asymptotic expansion