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

E. Babichev; V. Dokuchaev; Yu. Eroshenko

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

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arxiv 1202.2836 v2 pith:HWYJB67M submitted 2012-02-13 gr-qc

E. Babichev , V. Dokuchaev , Yu. Eroshenko This is my paper · ORCID

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keywords blackholeaccretingbackreactioncoordinatescorrectionseddington-finkelsteinform

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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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Dynamical black holes and accretion-induced backreaction
gr-qc 2025-07 conditional novelty 4.0 of 10

For accreting Reissner-Nordstrom black holes, the momentum flux from infalling matter splits an extremal horizon into two, while energy density displaces the extremal horizon's radius.

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