Late-time evolution of the Yang-Mills field in the spherically symmetric gravitational collapse

Details Late-time evolution of the Yang-Mills field in the spherically symmetric gravitational collapse Late-time evolution of the Yang-Mills field in the spherically symmetric gravitational collapse

1999-10-20

arxiv.org/abs/gr-qc/9910067v1

Gen.Rel.Grav.31:1367-1382,1999

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

Revtex, 14 pages, no figures

Scientific paper

10.1023/A:1026737127191

We investigate the late-time evolution of the Yang-Mills field in the self-gravitating backgrounds: Schwarzschild and Reissner-Nordstr\"om spacetimes. The late-time power-law tails develop in the three asymptotic regions: the future timelike infinity, the future null infinity and the black hole horizon. In these two backgrounds, however, the late-time evolution has quantitative and qualitative differences. In the Schwarzschild black hole background, the late-time tails of the Yang-Mills field are the same as those of the neutral massless scalar field with multipole moment l=1. The late-time evolution is dominated by the spacetime curvature. When the background is the Reissner-Nordstr\"om black hole, the late-time tails have not only a smaller power-law exponent, but also an oscillatory factor. The late-time evolution is dominated by the self-interacting term of the Yang-Mills field. The cause responsible for the differences is revealed.

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