Newman-Penrose constants and the tails of self-gravitating waves

Details Newman-Penrose constants and the tails of self-gravitating waves Newman-Penrose constants and the tails of self-gravitating waves

Mar 1994

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1994phrvd..49.2828g&link_type=abstract

Physical Review D (Particles, Fields, Gravitation, and Cosmology), Volume 49, Issue 6, 15 March 1994, pp.2828-2836

Physics

26

Wave Generation And Sources, Numerical Relativity, Relativistic Stars: Structure, Stability, And Oscillations

Scientific paper

We study the properties of the decay of self-gravitating radiation field by analyzing the relation between behavior in the weak field regime, test field behavior in a Schwarzschild background, and strong field behavior. Our model consists of a spherically symmetric scalar field incident on a reflecting barrier, which allows all these regimes to be treated on a common nonsingular manifold. Our primary conclusion, in the curved space case, is that there are two distinct types of late decay determined by whether or not the Newman-Penrose constant for the scalar field vanishes. For the nonvanishing case, the radiation tail decays as 1/t, with respect to Bondi time, but there are also lnt/t2 corrections, as well as the exponentially decaying contributions associated with quasinormal modes.

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