Event Horizons in Static Vacuum SpaceTimes
Abstract
The following theorem is established. Among all static, asymptotically flat vacuum spacetimes with closed simply connected equipotential surfaces g_{00}=constant, the Schwarzschild solution is the only one which has a nonsingular infiniteredshift surface g_{00}=0. Thus there exists no static asymmetric perturbation of the Schwarzschild manifold due to internal sources (e.g., a quadrupole moment) which will preserve a regular event horizon. Possible implications of this result for asymmetric gravitational collapse are briefly discussed.
 Publication:

Physical Review
 Pub Date:
 December 1967
 DOI:
 10.1103/PhysRev.164.1776
 Bibcode:
 1967PhRv..164.1776I