Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2010-11-21
J.Phys.Conf.Ser.314:012074,2011
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
4 pages, based on the talk given by Jozef Skakala at the The Spanish relativity meeting-ERE2010 (Granada, 2010), will be publi
Scientific paper
10.1088/1742-6596/314/1/012074
Black hole highly-damped quasi-normal frequencies (QNFs) are very often of the form (offset)} + i n (gap). We have investigated the genericity of this phenomenon for the Schwarzschild--deSitter (SdS) black hole by considering a model potential that is piecewise Eckart (piecewise Poeschl-Teller), and developing an analytic ``quantization condition'' for the highly-damped quasi-normal frequencies. We find that the (offset) + i n(gap) behaviour is common but not universal, with the controlling feature being whether or not the ratio of the surface gravities is a rational number. We furthermore observed that the relation between rational ratios of surface gravities and periodicity of QNFs is very generic, and also occurs within different analytic approaches applied to various types of black hole spacetimes. These observations are of direct relevance to any physical situation where highly-damped quasi-normal modes are important.
Skakala Jozef
Visser Matt
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