Abstract
It has been well known since the 1970s that stationary black holes do not generically support scalar hair. Most of the no-hair theorems which support this depend crucially upon the assumption that the scalar field has no time dependence. Here we fill in this omission by ruling out the existence of stationary black hole solutions even when the scalar field may have time dependence. Our proof is fairly general, and in particular applies to noncanonical scalar fields and certain nonasymptotically flat spacetimes. It also does not rely upon the spacetime being a black hole.
- Received 29 July 2014
DOI:https://doi.org/10.1103/PhysRevD.90.041501
© 2014 American Physical Society
