Publication date: Nov 2017
Abstract:
In our previous work (Paper I) we applied several models of high-
frequency quasi-periodic oscillations (HF QPOs) to estimate the spin of
the central compact object in three Galactic microquasars assuming the
possibility that the central compact body is a super-spinning object (or
a naked singularity) with external spacetime described by Kerr geometry
with a dimensionless spin parameter a ≡ cJ/GM2 > 1. Here
we extend our consideration, and in a consistent way investigate
implications of a set of ten resonance models so far discussed only in
the context of a < 1. The same physical arguments as in Paper I are
applied to these models, I.e. only a small deviation of the spin
estimate from a = 1, a ≳ 1, is assumed for a favoured model. For five of
these models that involve Keplerian and radial epicyclic oscillations we
find the existence of a unique specific QPO excitation radius.
Consequently, there is a simple behaviour of dimensionless frequency M ×
νU(a) represented by a single continuous function having
solely one maximum close to a ≳ 1. Only one of these models is
compatible with the expectation of a ≳ 1. The other five models that
involve the radial and vertical epicyclic oscillations imply the
existence of multiple resonant radii. This signifies a more complicated
behaviour of M × νU(a) that cannot be represented by single
functions. Each of these five models is compatible with the expectation
of a ≳ 1.
Authors:
Kotrlová, A.; Šrámková, E.; Török, G.; Stuchlík, Z.; Goluchová, K.;