2012/02/29 by E. Babichev, V. Dokuchaev, Yu. Eroshenko
Physics and Astronomy · #gr-qc
paper · pdf · doi:10.1088/0264-9381/29/11/115002
published as Class. Quantum Grav. 29 115002 (2012) · 12 pages, v.2: references added, typos corrected, matches published version
arxiv created 2012/05/15 · arxiv updated 2012/05/16
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.