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

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

2012-02-13

arxiv.org/abs/1202.2836v1

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

12 pages

Scientific paper

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.

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