https://doi.org/10.1140/epjc/s10052-015-3414-9
Regular Article - Theoretical Physics
Numerical evidence for universality in the excited instability spectrum of magnetically charged Reissner–Nordström black holes
1
The Ruppin Academic Center, 40250, Emeq Hefer, Israel
2
The Hadassah Institute, 91010, Jerusalem, Israel
* e-mail: shaharhod@gmail.com
Received:
2
April
2015
Accepted:
15
April
2015
Published online:
30
April
2015
It is well known that the SU(2) Reissner–Nordström black-hole solutions of the Einstein–Yang–Mills theory are characterized by an infinite set of unstable (imaginary) eigenvalues 
(here 
is the black-hole temperature). In this paper we analyze the excited instability spectrum of these magnetically charged black holes. The numerical results suggest the existence of a universal behavior for these black-hole excited eigenvalues. In particular, we show that unstable eigenvalues in the regime 
are characterized, to a very good degree of accuracy, by the simple universal relation 
, where 
are the horizon radii of the black hole.
© SIF and Springer-Verlag Berlin Heidelberg, 2015
