Upper Bound for Diameter of Cosmological Black Holes and Nonexistence of Black Strings
arXiv:1609.09373 · doi:10.1063/1.5008259
Abstract
The diameter of the apparent horizon, defined by the distance between furthest points on the horizon, in spacetimes with a positive cosmological constant $\varLambda$ has been investigated. It is established that the diameter of the apparent horizon on the totally umbilic partial Cauchy surface cannot exceed $2Ï/\sqrt{3\varLambda}$. Then, it is argued that arbitrarily long black strings cannot be formed in our universe.
10 pages, 1 figure