Nonlinear Behavior of Nonspherical Perturbations of the Schwarzschild Metric

Details Nonlinear Behavior of Nonspherical Perturbations of the Schwarzschild Metric Nonlinear Behavior of Nonspherical Perturbations of the Schwarzschild Metric

Aug 1976

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1976pthph..56..551t&link_type=abstract

Progress of Theoretical Physics, Vol. 56, No. 2, pp. 551-560

Physics

7

Scientific paper

In this paper we show the result of our recalculations which were performed to avoid undesirable points found in our previous treatment for the nonlinear behavior of nonspherical perturbations in the gravitational field outside a collapsing object. The main modification from the previous treatment is a coordinate transformation from the Bondi-Sachs coordinates (u, r) to the Kruskal-like ones (x ≡ e-u/2, y ≡ ev/2) and the correction of mistakes included in previous calculations. Contrary to the previous result, it is found that a physical component of the curvature tensor does not diverge as 1/x, but as y, when we approach the infinite redshift surface. It is again concluded that the nonlinear effect is not strivial under our imposed boundary condition.

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