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

Rong-Gen Cai·Anzhong Wang
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Abstract

We investigate the late-time evolution of the Yang-Mills field in the self-gravitating backgrounds: Schwarzschild and Reissner-Nordström 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-Nordström 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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Rong-Gen Cai, Anzhong Wang. 1999-10-20. Late-time evolution of the Yang-Mills field in the spherically symmetric gravitational collapse. https://doi.org/10.1023/a%3A1026737127191

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