Discrete Self-Similiarity and Critical Point Behavior in Fluctuations About Extremal Black Holes

Details Discrete Self-Similiarity and Critical Point Behavior in Fluctuations About Extremal Black Holes Discrete Self-Similiarity and Critical Point Behavior in Fluctuations About Extremal Black Holes

1994-03-09

arxiv.org/abs/gr-qc/9403016v1

Phys.Rev. D50 (1994) 7144-7149

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages (harvmac), UMHEP-405

Scientific paper

10.1103/PhysRevD.50.7144

The issues of scaling symmetry and critical point behavior are studied for fluctuations about extremal charged black holes. We consider the scattering and capture of the spherically symmetric mode of a charged, massive test field on the background spacetime of a black hole with charge $Q$ and mass $M$. The spacetime geometry near the horizon of a $|Q|=M$ black hole has a scaling symmetry, which is absent if $|Q|

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