Blowup/scattering alternative for a discrete family of static critical solutions with various number of unstable eigenmodes

Details Blowup/scattering alternative for a discrete family of static critical solutions with various number of unstable eigenmodes Blowup/scattering alternative for a discrete family of static critical solutions with various number of unstable eigenmodes

2007-11-26

arxiv.org/abs/0711.3994v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

29 pages, 10 figures

Scientific paper

Decay of regular static spherically symmetric solutions in the SU(2) Yang-Mills-dilaton (YMd) system of equations under the independent excitation of their unstable eigenmodes has been studied self-consistently in the nonlinear regime. The considered regular YMd solutions form a discrete family and can be parametrised by the number $N=1,2,3,4...$ of their unstable eigenmodes in linear approximation. We have obtained strong numerical evidences in favour of the following statements: i) all static YMd solutions are distinct local threshold configurations, separating blowup and scattering solutions; ii) the main unstable eigenmodes are only those responsible for the blowup/scattering alternative; iii) excitation of higher unstable eigenmodes always leads to finite-time blowup; iv) the decay of the lowest N=1 static YMd solution via excitation of its unique unstable mode is an exceptional case because the resulting waves propagate as a whole without energy dispersion revealing features peculiar to solitons. Applications of the obtained results to Type-I gravitational collapse of massless fields are briefly discussed.

Affiliated with

Also associated with

No associations

Rating

Blowup/scattering alternative for a discrete family of static critical solutions with various number of unstable eigenmodes does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Blowup/scattering alternative for a discrete family of static critical solutions with various number of unstable eigenmodes, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Blowup/scattering alternative for a discrete family of static critical solutions with various number of unstable eigenmodes will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-170696