E. Babichev, V. Dokuchaev, Yu. Eroshenko
We study backreaction of accreting matter onto a spherically symmetric black
hole in a perturbative way, when accretion is 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. Relation to other solutions
is discussed and particular examples are presented.
View original:
http://arxiv.org/abs/1202.2836
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