 
Summary: Proceedings of The National Conference
On Undergraduate Research (NCUR) 2006
The University of North Carolina at Asheville
Asheville, North Carolina
April 6  8, 2006
On a Problem in the Stability Discussion of Rotating Black Holes
Irina Craciun
Department of Mathematics
Louisiana State University
and
Center for Computation and Technology at Louisiana State University
Baton Rouge, LA 70803. USA
Faculty Advisor: Horst R. Beyer, PhD.
Abstract
When a sufficiently massive rotating star collapses its core keeps rotating, passing this motion on to the resulting
black hole through conservation of angular momentum. We study the evolution of 0spin particles (described by the
KleinGordon equation) in the gravitational field of a stationary rotating black hole (Kerr black hole). An important
open problem is the existence of exponentially growing solutions of the KleinGordon equation. Or more generally:
Is the Kerr gravitational field stable against small perturbations? This problem has important implications in general
relativity, particularly in the numerical treatment of the collision of two Kerr black holes, and the problem of
