A Yang-Mills field on the extremal Reissner-Nordstrom black hole

作者：Bizon Piotr^*; Kahl Michal

来源：Classical and Quantum Gravity, 2016, 33(17): 175013.

DOI：10.1088/0264-9381/33/17/175013

• Yang-Mills
• Reissner-Nordstrom
• hyperboloidal foliations

We consider a spherically symmetric (magnetic) SU(2) Yang-Mills field propagating on the exterior of the extremal Reissner-Nordstrom black hole. Taking advantage of the conformal symmetry, we reduce the problem to the study of the Yang-Mills equation in a geodesically complete spacetime with two asymptotically flat ends. We prove the existence of infinitely many static solutions (two of which are found in closed form) and determine the spectrum of their linear perturbations and quasinormal modes. Finally, using the hyperboloidal approach to the initial value problem, we describe the process of relaxation to the static endstates of evolution, both stable (for generic initial data) and unstable (for codimension-one initial data).

• 出版日期2016-9-8