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Late-time tail of a coupled scalar field in the background of a black hole with a global monopole

Songbai Chen·Jiliang Jing
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Abstract

Using the technique of spectral decomposition, we investigated the late-time tails of massless and massive coupled scalar fields in the background of a black hole with a global monopole. We found that due to existence of the coupling between the scalar and gravitational fields, the massless scalar field decay faster at timelike infinity $i_+$, and so does the massive one in the intermediate late time. But the asymptotically late-time tail for the massive scalar field is not affected and its decay rate still is $t^{-5/6}$.

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Songbai Chen, Jiliang Jing. 2008-02-20. Late-time tail of a coupled scalar field in the background of a black hole with a global monopole. https://doi.org/10.1142/s0217732308023888

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