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arXiv · 1202.2836

Backreaction of accreting matter onto a black hole in the Eddington-Finkelstein coordinates

E. Babichev·V. Dokuchaev·Yu. Eroshenko
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Abstract

We study backreaction of accreting matter onto a spherically symmetric black hole in a perturbative way, when accretion is in a quasi-steady state. General expressions for corrections to the metric coefficients are found in the Eddington-Finkelstein coordinates. It is shown that near the horizon of a black hole, independently of the form of the energy-momentum tensor, the leading corrections to the metric are of the Vaidya form. The relation to other solutions is discussed and particular examples are presented.

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E. Babichev, V. Dokuchaev, Yu. Eroshenko. 2012-05-15. Backreaction of accreting matter onto a black hole in the Eddington-Finkelstein coordinates. https://doi.org/10.1088/0264-9381%2F29%2F11%2F115002

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