1,193 research outputs found
Null vectors of the algebra
Using the fusion principle of Bauer et al. we give explicit expressions for
some null vectors in the highest weight representations of the \bc algebra in
two different forms. These null vectors are the generalization of the Virasoro
ones described by Benoit and Saint-Aubin and analogues of the ones
constructed by Bowcock and Watts. We find connection between quantum Toda
models and the fusion method.Comment: 8 pages, LaTeX, ITP Budapest 50
On the number of instabilities of cosmological solutions in an Einstein-Yang-Mills system
A detailed numerical stability analysis of the static, spherically symmetric
globally regular solutions of the Einstein-Yang-Mills equations with a positive
cosmological constant, Lambda, is carried out. It is found that the number of
unstable modes in the even parity sector is n for solutions with n=1,2 nodes as
Lambda varies. The solution with n=3 nodes exhibits a rather surprising
behaviour in that the number of its unstable modes jumps from 3 to 1 as Lambda
crosses (from below) a critical value. In particular the topologically 3-sphere
type solution with n=3 nodes has only a single unstable mode.Comment: minor corrections,to appear in Physics Letters
Eccentric first post-Newtonian waveforms for compact binaries in frequency domain with Hansen coefficients
The inspiral and merger of supermassive black hole binary systems with high
orbital eccentricity are among the promising sources of the advanced
gravitational wave observatories. In this paper we derive analytic ready-to-use
first post-Newtonian eccentric waveform in Fourier domain with the use of
Hansen coefficients. Introducing generic perturbations of celestial mechanics
we have generalized the Hansen expansion to the first post-Newtonian order
which are then used to express the waveforms. Taking into account the high
eccentricity of the orbit leads to the appearance of secular terms in the
waveform which are eliminated with the introduction of a phase shift. The
waveforms have a systematic structure and as our main result these are
expressed in a tabular form.Comment: 19 pages, 3 figure
- …