Physics
Scientific paper
Oct 1974
adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1974pthph..52.1188t&link_type=abstract
Progress of Theoretical Physics, vol. 52, Oct. 1974, p. 1188-1204.
Physics
9
Gravitational Collapse, Nonlinear Equations, Perturbation Theory, Relativistic Theory, Approximation, Astronomical Models, Gravitational Waves, Schwarzschild Metric, Wave Reflection
Scientific paper
As a preparation for clarifying the final state of relativistic gravitational collapse, a study is made of the behavior of nonspherical perturbations in the neighborhood of the Schwarzschild surface, by analyzing the second-order nonlinear perturbations, as well as the first-order linear ones. It is found that through the self-interaction of the perturbations corresponding to incoming gravitational waves reflected by the potential barrier, the nonlinear effect becomes important, when the waves approach the Schwarzschild surface together with the surface of the collapsing object. Consequently, the conclusion derived in the linear approximation - namely, that the final gravitational state is expressed by the Schwarzschild or Kerr field - is questionable. It is concluded that, however small the initial nonspherical perturbations are, the full nonlinearity must be considered, in order to analyze dynamical processes in the neighborhood of the final state.
No associations
LandOfFree
On the non-linear behavior of nonspherical perturbations in relativistic gravitational collapse 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 On the non-linear behavior of nonspherical perturbations in relativistic gravitational collapse, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the non-linear behavior of nonspherical perturbations in relativistic gravitational collapse will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-793713